Problems Description
<div style="margin-left:.38in;text-align:left;vertical-align:baseline;"> <p> <span style="font-size:22.0pt;"><span style="color:#CC9900;font-family:Wingdings;font-size:65%;"></span></span><span style="font-size:18px;font-family:黑体;color:black;"><span style="font-family:SimSun;font-size:18px;">设有n条封闭曲线画在平面上,而任何两条封闭曲线恰好相交于两点,且任何三条封闭曲线不相交于同一点,问这些封闭曲线把平面points割成的区域items数。</span></span> </p> <p> <img src="http://tk.hustoj.com/data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAjgAAADPCAIAAAB3HzwpAAAgAElEQVR4nOydd1xbybn3ffNJu8m9yX1zN3uT3WQ3G9es667X3WsbF8CY3ptAAnUBAtF778VU03vv1fTeO8b03jtIokqo8f5B1iFUSUgC757vfxzmzAxI5/xmnnnKmS0AAAAAAIBTzJmTngAAAAAAAMBhAEIFAAAAAHCqAYQKAAAAAOBUAwgVAAAAAMCpBhAqAAAAAIBTDSBUAAAAAACnGkCoAAAAAABONYBQAQAAAACcagChAgAAAPgxUFJSkpeXd9Bvu7u7ExISVlZWeDklTgEIFQAAAMDHDYlEqq2tvXnzppSU1L4N+vr6FBUVL126NDY2xuO5cQRAqAAAAAA+bqanpwUEBH75y1+CweBdv6LT6SsrK1gs9ve///2VK1emp6dPZIbHBBAqAAAAgI+bjY2NioqKO3fuKCgo7PrV+Pg4CARycHDAYDA3btwYHx8/kRkeE0CoAAAAAH4MSEtLS0hI7Lo4MTHxu9/9LiQkJCYm5vr16yMjIycxteMCCBUAAADAjwFRUdFdZ1RTU1NOTk5gMLiiouL169fXrl0bHR09qekdB0CoAAAAANiHQqXg8fi52bn5ufm5ubmlpaX19fUTmckuoZqamvL19RUXFx8eHt7a2nJycrp+/frc3NyJzO2YAEIFAAAAwDJUKnVtbW1kZKS8ojwgKMDZ0dndyd3ZxdnXzzc9Pb2rq2t9fX1zc5OXU9olVIaGhk+ePGlqalpdXSWTyWZmZpcvX+7p6aHRaLycFUcAhAoAAACANYaHhv18/BQVFfn5+aWkpNAoNE4Hp62lra2tjUAhFBQVREVEJSUkzc3MW5pbeDarXUIFg8HOnDnDz8//+PHjhw8ffvHFF7/97W8fPXrU3NzMsylxCkCoAAAAAJil7V2bs7MzCoVCIBCamppmZma+Pr65b3OrqqrKyssqKipyc3MjIiLs7ew1NDSQSCQSibSxsamsquTB3HYJVXl5uampqYaGBgaDwWAwd+7c+d///V8YDNbb28uDyXAWQKgAAAAAjmZ+YT7nbY6BgYGoqChGA5OZnUlcJh7SnkQmNTQ1mJiaSElJaetoJycnT45NcnWGUlJSe93TP+Ds7Hzjxo3FxUWuzoFLAEIFAAAAcASTU5MBgQEKCgp6unrNzc3kTTKdTmfmRgqF0t3d7eTgJC4u7ubkNtQ/RKFQOD49CoUyNDT04MGDx48fDw8PU6nUvW2srKwuXLgAxFEBAAAA/AgZHR3VwGqAFEEJsQmTE5MMBoPVHubm5rJzstXU1TS0NGrqatjo4XCmp6dFRUX/67/+67//+7+lpaUXFhb2trGxsbl69Srgng4AAADwY6OlpcXY0NjC1KIor2h1ZZXtfqhUanVNtYGxgZ6+XkN9A4POSa1aXV1NSEiIioqKiopKTk7e1z++s7MzLy9vbW2Ng+PyDECoAAAA/kVHR4fhD7S08M5j7XRSU1ejo6djbGTc19XHkQ7fd7x3cHQwMjSqrKokb5I50udPAd4J1cDAQFZWVlZWVk5Ozkeaah4AgAfQ6LTlleW5ubmR0ZHRkdGR4ZHJqUkCgUAikbg6LoPB6OjosLS0vPkDJiYm7e3tTB7G/Phob2/Xweno4HT6+jmjUtsMDQ9ZWVvp6OnUVNds/UT/tSzDC6Gi0Wizs7O6urpnz549e/bs+fPnk5OTAa0CAPgAhUIhEAmzs7NDQ0OlZaVx8XE+fj7WNta2lrZWllYubi6RUZHZOdnv37+fnp5eXFzc2Njg+BxoNJqoqKi8vDyRSFxcXCQSiWAwmJ+fn0z+KS78Z2dnDQwMDPUM+7v6Od75+Pi4rq6uqaFp1/sujnf+o4QXQjU7OysjI4PFYouLi4uLi/Py8qSkpGxsbHgwNADA6YdAJOQX5hsbGwu/Er5967YAv4CcvBwUBjXUN9TX0zcyNNLU1FRUVhQXF7977+73338Ph8NDw0OHRoY4Ow0ajXb//v2dgTggEOjbb7/l9k7uFDI7O2trb6ulrVVeXs6lIbq6utSh6voG+gQigUtD/JjghVAtLy8HBwfvDIe+c+eOtLQ0D4YGADjN1NXXOdg7qCipQEAQXW1dM3MzZ2fnsLCw9PT04uLiluaWpuam1tbW6urqrOys+Ph4z9eeVtZWhgaGCBhCRk5GC6uVlpqGx+M5MhkGg5GbmwuDwWxsbIhEooODAwQCycrK+hgz7hyH9fX17OxsSSnJmNgYEpmLIp2RlQFWA3t6enJjf/wj4wScKUgk0pMnTyAQCO+HBgA4DVBIlMrySg8PDy2sloqKChQC9XLzam1u3SAx9cIaGR5JikvS0NJQUFRAwBFWVlYpKSkzszMcmVtJSQkSiTQ1NUUgELm5uRzp8+Oivr4eDoc7OjpOjE9wdSAKleLn6ycuJl5XX8fjrIBssLa2RlwmTk5NNjU3NTY19vX3zc7NEpeJmxRezPxkvP4ePHhwSAQ1AMCPmJmZmbTENDgULvxK2NTUtL6hnu0ty8TEREBAgLycvJSUlPtr986uTgr1uMGkCwsL/v7+jx498vb2np2dPWZvHx2rK6tubm7i4uIdHR08GO5d2ztDfUMTU5P+Ac6fhLENmUyenZnt6e5paGioqKgoLS3NysqKiIgIDgl2f+2uo6eD08XZ2Nr4+PgEhwTHxsYWFhaWl5fXVNd0d3cvLO4TwnV8eC1UdDp9aWnp+fPnSCSSx0MDAJwsdDp9eHjYzcNNUkrS2cW5s7OTQCAc07C2trY2MTGRkpoiIycDR8Krq6uPszYnkUhubm6ysrLFxcUKCgq2trY/NatUakoqEokMCArgjbcXjUrLzc0VExWLj4/f+02g0WhkMnltbW11dXVlZQWPx+Px+OXl5dXV1bW1tY2NDQ4muaDRaCQSaWVlZWR4JD8/393VXVVF9cGDB+fPnz937tytW7eEhYWlJKXAELCllaWDvQMOiwMpgCQlJflf8F++fPns2bPXr10HgUB+/n4trS0EAoFMJnMwrpnXQtXX16eoqGhvb9/T08PjoQEATpbqqmodTR1NtGZmVubEJCfNSmvraw2NDdaW1upg9cjwSPbqIdHpdCMjI0VFxdraWjqdXl9fDwKBcDgcN1L+nE7mF+bhCLiautri4iLHk0ccxPTMtK2trTZWu7qq+sNFGp02NDyUn5//xveNto42Co0CgUC3792+deuWpJQkCoPS1tZ2cHJITE5s72hfWz9uDC8ejy8qLvJw8wApgASeC0hLS2thtVxcXSIiIpKTk9PT0/Py8qqqqupq61pbW4eHh8dGx3q6epobm2tra8vLy7OystLS0uIT4t3c3FBI1NMXT6Vlpf18/VpaWugMzjjg81qoOjs7f/GLX4SFhfF4XACAE4RMIkdHR2MwGDNTs/ISbjmSDfQNeHl6YTAYezt2FoLbXn8yMjIfroDB4G+++eYn4vVHpVI9PDxAKqD0zHRejkuj0Xp6e9Qgas4OzrPTs01NTYGBgVpaWhAIBIFAYDAYrCZWW0sbq4PV0dXR19fX1dbV1tLGYrEamhowBAwMASMQCCdHp/KyclY/qcXFxczMTEMDw3+NhcXaWNqEhYVVVFZMTU+x+rfMzMwUFhS6uLpo47RRaBQMBtPR0Xn79u3xQ/F4KlSjo6MODg5KSkofY0EUAAD2mJ6eDg0OhYAhdvZ2A0MDXB1rbX0tPiFeXV3d1NS0taWVpXtpNNrDhw93uuOqqKjcvHnzpyBU5E1ya1urpISk52vP45/zsYGjk6OoqKiRoZGJiQkYDJaRkUGj0V5eXlnZWT0dPcMDw/86L6RuEReJ09PTVZVVwcHBurq6igqKsrKyWCzW3c09IyNjdOyIbH50Or2jsyMhKcHBwQGJRIqIiCgrK7u7uxcUFszOceZUkkAgZGRlmJuZy0jLQGHQmJiYyfFjZY7nnVDNz8+7uLhISUlNTk5OTU3NzHDGSQkA4DSztLjk7e0tKyMbFx93eFUITkGj0VpaWpBIJAaNaX/fztKNUChUWVm57QfU1NRAINDpd0g7PiOjI1bWVjgcrrmJ12toEok0ODjo8drj4tcX//yXP+N0cPn5+QuLCzQabd+NyNzsXPu79r6+PiqVymAwaDTa+vp6U3OTg5ODkJCQkJCQk7NTY1PjMmF5771L+KWBgYGctzn6Bvr8/PyyMrL+Af7DI8NUKpUb+UfodPrMzIyTq5OcrJynm2dXZxfbweO8ECoGg7G5uYlCoYSEhLq6ujY3NxUUFPT09Hgw9IlDp9OpVCqFQiH/wCZlk0tfC4DTBoPO8PHxUVRUzC/IZyMZKI1GY++khE6n9/b1GhoaIhCIyQkWVrLT09Nubm4XfsDOzm5qaopnpzUnSHl5Ob8Af3h4OFcDp/ZCIpGys7PlZOVUVFXEJcRFREVi42IPCQGmUCgGhgaXLl2SkJDYGT9Hp9MXFhf6+/vT09NRSJSggGCIfwhh4V/9UKnU4eFhL28vSQlJQQFBEwOTotyikZERIpHri6elpaXsnGwkEgkGg/Pz8tnzHuKFUBGJRBQKdebMmZ/97GdiYmLPnj07c+YMCATiwdAnS/9Af1hkmLmlOQKOeCn48smTJy/4X4BUQaampqGhoV3dQPaUHznxcfEwGCw4JJgNf4SGhgYUCnUcn6Pq6mpNTU07G7vxMRZKEI2NjYX+wODgINujf0SsrKwEBAY8F3heU1vDy3EnJifcPdxBIJCzs3NlVWV+fr6JqYmDvcP83Py+7ZeXl6FQKAaDCQsLy8jI2Nchc3Nzc/uUS1VFVU9Pr729fXsgUwtTEVERNBLt4uySnpbe09XDyzSDZDK5rq7O2cVZUV7R09NzeWWf3d7h8EKoVldXHRwcdHV19fT0YDAYDAbT19cvLCzkwdAnxejoaGBgoIaWBgwBQyKRCAQCDofDYDA4DI6AIZBIJAqFwmAwnq89+3o4me8S4JRAoVCqq6rhcLjHa4+lpSVWb8/NzX38+PFvf/vb+vp6tuewSdksLi6GqEGCAoMAS/sh1DXUaeloWZpbTk2y7D7ANjWVNVYWVkgUMjg4eHFpcWtri0qlBgUFPX/+vKG+YW/7/v5+HR0dLS2tgYGjjzkZW4zU9FRDE0NTM1NXV1dzc3M4Em5sYpyXm0cgnFjGppnZGR9vH0UlRR8fH1bDHoAyHxxmdm42vyDfzs5OXl5eU1MzNja2pallcupf5hf8HL6trS05ORmng5OVlbWysMrKzPpIy24C7A9j633be21NbQcHh96+XjY6CAoKOnfu3GeffdbW1naciaysrCQlJyFgiNjo2J9mbllm8PTxFBYTrquso5B54UZBIBKysrNwWjgtjFZBfsHOX1WWV74SehUSGrJrz9HZ2enm5iYvLx8cHJyWlsZkMHJ0TPTNmzf//Kc/X7pwKSE+gZN/wzEIjwhXkFdITU1lSasAoeIkS0tL/oH+IqIi6mrqRUVFq6ur2weee1tuh9fV1dVpYjVfvXrl4uICaNWPhqHBITdnNx0NnZZmNus5kcnkwMDAs2fP1tXVHXMyq6urbs5uOlo6ZaVlwMnoXtbX1rW1tcUlxAl4Xmw1VlZWomOiZeRl7Ozt+vr6dn0iU5NTnq6ecDi8vPLfYhh0dHSeP3+emZkpJiZ24cIFLS2tubm5Qw578Hh8WXkZCoV69fIVHAoXExVzc3PjVJKtY7KwuPDmzRtFBcWqqirmz6sAoeIYq6urrq6uCBgiKjJqoH+AGV8pGo02MjKSnp6ORqMtzC04GwQKcCIsLS25v3ZXUVWpq6ujbLK/Qk9KSjp//nxNDQdOTebn5s0tzOFI+PuO9z8FzwjmodPp2VnZSCTS29ebB3HNVCrV19dXQV4hJjZmp5XlAzQarbqy+vmz50FBQTuv6+np/ed//uejR48yMzNra2uNjY0lJCSmpvY3VPb191lYWkhKSTo5OvV090xNTlVXV8PhcDMzs1OiVV3dXTg9nJWlVcd7ZvNUAULFGebm5tw83LDa2LTUtLVV1vy7aDRaRUWFnp6esbExL63kANwgLDRMUUkxKjaKRj9WbqSoqKhz587V1tZyZFZtLW1aGlp6unpzc3Mc6fDHwebmJhwJV4OqjYyMcFvCGVuMoJAgVYhqWFjYISXtxyfHFZQUjM2Md5pYdHV1//a3v/n4+FCp1K2tLScnp7/85S9DQ7vrvKyurYZFhCkoK2hoaUREROxsUFRcBIfDLSwseODmdySblM2a2ho5BTkPTw8mDYCAUHGAiYmJN35vMJqYnNwcttdl1dXVGhgNVxfXkZERjs4OgEcwGIzpmWk1NTU0Gr2yetxMcZwVqq2trfiY+OfPn5eUlPx0UiIdznZKCDFxMRMzE26PtUnezM3JVYOovfF/c3gA9cbGRmREJAwGi0+I/3ARgUDw8fF9+NHBweHKlSu7XhSDA4O+vr4qqio4PVxlVeXenrOyslRVVENCQtjw7uE4FArFP8hfDaqWmJjITHtAqI7L/MK8f4A/AoEoKio65nl1Y2MjEoH08PCYnp7m1PQAeMbGxoaXtxcCgcjOyj5+bxwXqq6uLkNDQyMjo+7ubk71+VGzvLwcGRkJg8JSklO4OhCFQqmtrYVD4H7efrMzR6d+mBydVJZXxmKxH66gUKiHDx+urv5zH7ZLqCgUyrt375wcndQgamFhYQe9hdY31lPTUlVUVJISk05DgfX1jXWsFlZRQXF2bvbI7SwgVMfFP9BfHaaekprCRkTnLigUSnl5uSpY1dXVFTj3/rhgMBi9Pb3Cr4SdnZw5smXhuFDR6LSqqqoXz1+EhoYC366tra3JiUk9nJ6xiTFL+TvYoLWt1czczMLcoquTudBJxpYKSEVGRuaDMsFgsHv37n1QIEdHx4sXL24L1ebmZlVVFRaL1dHVqayqPHy7Njc/5x/gr6GhkZOdcxq+A6EhoaqqqhkZGUemUQaEin0YDEZff5+amhoOh2MjhG1fNjc3zS3MoVBoS2PLT62y6kfN+Ni4u7s7Eomsqq7iSIfR0dHnzp07vtffTubm5rDaWJwurrkFSLa51dXV9fTp09evX3M1meH4xLiTsxMCgWh/1759wsQMVjZWyiDl5oZ/fkzq6up37tz54J/l4OBw4cKFsbGxra2tjPQMNBrt5OLU2tbKzAppamrK3MLcQN+gqaGJrT+Ik7zveG9kZITTwR3kGPIBQKjYZ3l52dzcHI1Gc8Q16wOdnZ1YbayWltb8/P4B6gCnkNzc3JeCLxMTEz+sgo9Jenr6xYsXOWumo1AoLa0tCgoKVlZWHOz2Y4TBYJSUlNy9czc+Lv7o1uyysrLi7u6OQCBKSkq2WPHVSM9MR6KRvn6+21uNsrIyU1NT+R9AoVApKSmLS4tRkVFoFNrLy2twiIUcIu8732vjtHE43PjECYfEkEgkLy+vR08eHRkvCAgVm5BIpLKSMnExcW6ULElISJCWkU5MSjwNpmSAIxkeGbawslBTU+NUzqHa2lppaemf//znaDS6q4vDqbZMjU1BSqB37e9+ylt2AoEQGhIqIyNTWlrKpSHodHp2draysrKvry+r9w6NDOH0cBA1yPzCP1erfX19EhISQkJCIiIi0dHR6xvr0dHRcDg8ICBgYYHloro5b3MUlRXd3d1P/A2Tnp7+9PnTlLSUw93/uCtUK6srE5MTAwMDvb29La0ttTtoaWnp7u7u6+ubmJzgTVZpzvK+/b2Oto61jXV3D+ePpmemZny8fZSUlerqOWn5AeASvm98JaUkCwoLOGVE8vb2vnz58tWrVy9fvpyRkcGRPj/QWNuI1cQamxgvEzljr/4YeffunZGhkbmFeU8vtyq4Tk5OwmAwExMTlrY721BpVFs722dPn+1778TExBv/N1AolNX8Dh8gkUhv3rwRfiXc2NB4suuVzo5OQwNDC0uLw1+kXBEqKpW6vr7e3dMdlxBnYmYCUYcoKiree3Dv3A7u3rsrKS2prKxsZmYWGRXZ1ta2vr7+sTjO0un0kLCQZy+elVeUc+VjZmzV19W/evUqMDDw+OU7AbjK5uYmTgcnIS7BwRClpaWl4eHhiYmJoaEhjq95qVSqg4PD02dP+/p+unkmMzIzRMVEY2JjuLSlWF1dTUxKlJKWSkxKZK/KbXBo8NNnT4tLine9YaZnpl1cXOBweElJCXsqtU1zUzMahXZydhoeHma7k+OzuraaEJ8gJiaWk51zSDPOC9Xi4mJSYhJUHSr8SlhRWVFPV8/B1sHNxS0gMCA+Pj7hBwKDAp1dnZ2dnY2NjNUgauJi4srKym8C3gwMcreyHEdobGzU0dUxMjbiXq7PxcVFVzdXFArFPdMEwPGh0+nN9c0oBMrUzPQjqtuUnJIsLikenxh/GsI/TwT/AP/vbn1X31DPpTjflpYWJUUlNye3uRk2ly+FhYVgMPhNwJu5+X/1gCfgrW2sEXBETU3NMb9vGxsbGekZLwVfpqRw1zv/SBobG69cubIrGccuOClU5ZXl1tbWCCQCiURiMBhbW9vY2NiGhobxkfG52X0+rfmF+enp6ZbmltSUVGdnZw2MBhKOVFNXMzAyKCos4uDEOI6bu5uIqEhdbR333k00Gq27u5v/Ob+djR2XhgA4PlQq1cnOCQFHlFV8TJn0BgcGba1tMRjMTzOmamV1xdbO9tnzZ3uTO3CE+fn5N/5vpCWlm+vZ964cGhxycHDQ1NJ89+7d9pWVlRUPDw8EEpGbm8uReU5OTm4Xg+7v6+dIh+zR3d195cqV156vD2nDGaEaGhqKjYnFamNFREWUQcohYSFspK1bmF/ISM6Aw+GvRF9h0JiIiAhuHP8cHyKRiNXEysvKczthPmmDBFGBYFCYE3fOATgIAoEgIy2jpaXFqfgE3kCn0DOSMp4+eZqXn3fSczkBmluadXR19A30uZRQKiMzA6IGCQ0OxRPwR7c+gA3SRnxCPB8fX0FBwdbWFoFACAsLg4AhmVmZnJrn5uZmWXmZioqKu5s7p/pkg97e3mfPnrm7utMoBx6jHFeoVlZWWlparKytRIRFnBycerp7yGQy28c2dDp9c3NzdGzU3d1dRFjEyNioqrpqZyHLE4dOp6enp2MQmOCAYOajItiDRqVlZWYhEAjfN74f0Wr9pwOdTm9qahIVE3VxdjnpubBMU2OToKBggH/A+sYRsZY/PmJiY+AIeFxM3PGD9PdC2iCZmprKycuNjo4es6uysrIrV66kpKSsrq4mJiQqKCikp6dztlzL5uYmFosFQ8BDw0NHWkHxePz09PTeZuPj452dnZ2dnex5vQ4PDyvIKzjaOuLnD3zVH0uolpeXI8MjpaWlkWhkSUnJQYUp2WBxcbGqqsrY0FhMXMzdw/00JKfaZmNjA4FCIJAI3hQ/JeAJaBRaWVn5kCyWACfF/Py852tPDAZTWPTxVQEdnxi3sLLQ09VrbGg86bnwmtcer1VVVUvLSjnuvUWn0XMzc1FwlJeP1ybluOcCLS0tT/mehkeEx8TEIOCIyMhIblhxcvNy4Si4s6vz4X4lNBrNyMgIBALtVEoGg0EkEpWVlS9evHjx4sVnz9ixpo6Pj6NQKAtzi8GBA1+q7AvV3Nycna0dAoF47fm6sYkr3/XOjs7gwGAUDGVuZj46dtzlyfGh0+nv378XExeztbVlMjd2bm4uDoc7joXBzd1NVla2road8zAikairq8spizbALrq7ul8JvnJ3cycQT6xqKttsbm5WVFbwC/J7eXud9Fx4jbGRsaysbE9vD8c9KahUqiZaE6oO7RvggEdlf38/SAmkDlZHo9DOLs6Li4vH73MvK6srJqYmz188P8Q1bH19XVdX93e/+93333+/80XU3NwsLy9vaGjo7+/v7+/v5OQEBoPz8lizJ09PT5sYmJgamX44jdsLm0I1PDzs5OiExWITkxKPnyj6EBhURn5OPhaLtbS2ZK9YKgchEokREREQCCQ1NZWZ9klJSTdv3vzrX/+6neyEPUrLSjW0NJycnFhNVDE2NqaqqnrmzBk24g0BmKG0tPTp46d5uR/rMQ+ZTJaUkTQx5Xru8NOGGkRNTExs3w1Efn5+cnLy3uv+/v76+vr6+vre3t4HdctgMMbGx0RFRQ0NDTkigRMTE6pg1cv/uGxsaMxGMBbzBAYGPuF7UlFZcZBdkUQiOTk5nTt37uXLlzuFqrOz09DQ8MMuamJi4rPPPnNxYc0SPj8/72TvpKOtU15eflAbdoRqcnLS3d0dDAbXN9SzcTsbvGt/h9HAWFtbc8lLh0mGh4e1NLQsLSx7e5mSTBsbm88///zatWtHZrI6hNnZWQdHBzFJMZaiXnp6ery9vb/++uvf/OY3UVFRbI/+44ZCoSwuLo6Pjw8PDw8ODba2tlZXV9fU1NTW1lbXVNfW1VZXVxcUFKSnp6elpWVnZ5eWltbU1NTV1dXU1uQX5BsYGDx58iQuNm5kZGR4eHhmamZ1dfUUViak0Wh4An56ZnpgcKCltWV7/rW1taUlpdLS0qJiogEBAWkHkJOTU1FRUVNTU1dbV1tbW1VdVV9f39PbMzExsbCw8DGWtyeRSfLy8nJycruuk8nk0tLSb7/9VlBQcOf1+fn5nJwcUVHRW7du3bp1S0hIKD09fd/Nx9raWkpKCkgFFB0VzZGpdnR0PH329OKli9wuJF9bW4vRwtjZ242NH7akhsFgjx8/PiSqvaur6+LFiz4+PiyNvohffO31GoVGvX379qA2LAvV8vKyl6eXppZmcUkxz76mDAaju70bjUTb2NgsLnFl/8sMLS0tz58+D34TTN9kyrVhbW3N1NT0ypUrxzxWjYiI+PbmtyxlFEQikeLi4qWlpTdu3AB2VAwGg0Qira6u4vH4hYWFqampkZGR9x3v8/LyQkJDHJ0dLa0tzS3MIWCIsIiwqLiopKSkmLiYpJSkiIjI7bu3z507d/bs2atXr/Lx8YmIiUhLS0tJSz3he3Lu3LnzF85D1aG2drY21jbeHmPH41kAACAASURBVN5JiUllZWXvO96Pj43Pzs4uLiwSiIT19XVu+918gE6nb2xsEAnExcXFmZmZ8fHxvr6+4uLiyKhITy9PY1NjVYiqtLS0uIS4uKS4hITENze++eR/P/n0/z49ewDXrl0TEBAQERORlJSUkJAQFhGWkZHR1dd1dnEODArMycl59+7d8PDw5OTkwsICHo9fWV055WH7A4MDKioqOB3cruuLi4tiYmK//vWvZWVld17PyMi4cuVKdnY2Ho/H4/GFhYVXrlyJi4vb2/PY6JiWppaZqVlHJ7OFaw+BQCQEBgXevnX7+4ffHx4Me3zweHxgUKCEuERN9WEvGXV19SdPnhwiVH19fWfPnvX09GRp9MWlRY/XHlpaWodEJbEmVEQi0cPdQ09Pr6CwgNeLKcZWXW2dhpaGuZX5SfkBvn379u7duxlpLKS0cXV13VvijFVycnP4nvPFJ8QfmQz/A3JyckJCQt3d3bdv3z7EWPFTgEqldnR2JKckv/F9Y2ZshkFjBAQErl69evvObRFhETWImpaWlo6ujrGRsedrz6DgIP8A/8DAwNCA0KCAoOCQ4MSkxOLi4tLS0ry8vJjYGP9A/4DAgNjIWC2M1p07d2CqMFNjU1NTUwN9AxQSJScrJ8AvcPPmzVvf3ZKTldPU0LSxtQkPD68sr5ydPboQ0TFZWV1pbm6Oi4lzsHbAamAlJCRu37797bffvhR8qQJSQSKR+gb6r11fBwYEBgQGBAYHBgQE2JjaCD4TVFVVLSoqKt2P3NzcyMhI/0D/NwFvQgJDwoLC/P39ra2sNTQ0VMAqYmJi9+7du3r16tOnT1FIlImxibevd2FR4Skpeb4XKpVaXl4OhUJdXVx3/Wpzc7Opqenx48diYmI7ryckJPz5z3/+sExsbW397LPPQkND93be2NB499bd4KBgjoRXpmWkiUmK6erpioiKBAYHHr/DQ2AwGGVlZQ8fPIyNjT2kGQQCOVyoent7z507x6pQzc/N29na6erqVtdUH9SGBaHCL+Gjo6JRKFRSchKJzMXE+IdQXFCMxWDdXN14n1mcSCSGBoXKSMhUVbJQx8HOzu74QtXe3q6jo2NlbcWk9c/MzAwCgRQVFXV2dl65coXVnfiPgKWlparqqqDgIF1dXXlZeUUFRQQCoaGhoauja2BgYGlp6eDg4OnpGRsbW5BfUFtb29TU9K7t3fTU9MrKCoFAIBAIK4QVIp646/yVSqUSiAQ8AU9aI/n7+X//6PvcrNyuzq62d20tzS3lFeVp6WnhYeEeHh52dnampqYGhgY62jpoBBoMBsvJyYFUQFbWVulp6Z2dnZz6SyenJguKCvx8/ZAwpKyMrIqKChKJ1MZqG+gbmJub29raurq6RkZG5r7NLS8vb2ttm56YJuAJBCKBuEzE4/G9Xb1IGNLAwOCQIUgk0vZfvUxYXlteW1pa6unpqa6uzi/Ij4+P9/b2dnBwsLKyMjQy1NXV1dTUVAWrysjJQCAQazvrpJSk7p5u9nIIcQPSBikpIQmJQkZERuzbQFlZeZfpLyUl5ezZsx8SxNTW1p47d26vOZ1AJERFR70UeFlcVHz8eb5rf6dvoI/D4UpLS4VFhS0sLY7f5+H09/eDIWA7O7ux0QOtf4cLVVVVFRqNdnV1ZfXrPTk5qY3VNjEx6ew+8EYWhKq0tFRSUjIwKPAEjW9b1K30pHQxUbHs7Gwex3+8e/fOxNjEwtSCpShujggVgUCICI+Qk5fLz88/vOXExERISIi6uvr2seTs7OzXX38dHh5+nNE/FvBL+Nra2uioaEdHRxNjE20dbRgMpqioqCivaGJsEhkZmfM2p6m5qX+gnyO2KTd3t9u3bh9yxL24tNjX31dbXZucmLydDUteTh6kDEJj0Hr6elZWVt5e3mlpae/a37HqxzwxMZGblxscHOzo6GhsZKyppamuri4rLQtRhdjY2MTGx1bWVPb09jATg0ylUREIhKio6DGrkzC2GNuHfPl5+Z6enggkQkZGBqQMgiPgOD2ctY21r69vZkZmd3c3z6yg+7JddwOjgTko0llGRkZISGjnFSaFqrm5WQenY2dnNzI88uFienp6a2vrrpbz8/OJiYmHVPEmkUmW1pZQKLSjvWNxYVGQX1Abq83sX8guxGViXEKcsoJyUkLSQW0OF6qgoKBf/epXbCzCRkZGlJWUra2tp2cO/J8wK1T9/f0mJiZQBJR7yYaZZHR01MHeQVNLs6aWk1WgjiQlNUVcSjwuIY6l9GgcEaqtra3KysrHjx/va3DYSX5+/u9//3tLS8vKysry8vKwsLAvvvhCS0urv/8kU6RwFTwe393TXVBQ8MbvDRaLFRISun37trSUtL2dfVZm1tDwEDeW86trq5aWlqIiopOTk8zfRV4ltza1BoUE6ejoPHny5N7dezKyMgZGBlFRUfV19cPDw4fHny4tLb1//z7nbY6Tq5MSSInvKd/jR49VQaqvX7/OL8ifnWPTtGhsbCwsLNw/0M9ZN5CV5ZXmuubQ4FCMBob/Bf/Dhw/l5eQtLSxj42IbGhpGRkYomydwlLW0tITVxmJ1sO/fv9+3AdtCFRsbKygomJubu30msrS0FBcX9/nnnzs5Oe1sNjIyYmpq+tlnn1VX72/motFob3PfgkAgH1+fra0tyiZFWkIag8KwsZKYnp7+YMJl5q3VP9Av8EzAysLqoPQChwjV8PCwhYWFuLj4+DjLaXQGBgaEXwk7Ojoe8v1nSqioVKrna08JCYnautoTT5FAp9N7e3ulZaTt7Ow4VaSOGTw9PW/fvt3a1srS88wpoRocGHz+7LmjoyOFetjjXV9f//nnn3/55ZcXL148e/bsX//611/84heffPKJtbX1MSdw2iBvkolEYk9vT1h4GFgdfPfeXXFxcRc3l4LCgpGRkdnZ2eXl5U0ytzIxtre36+np6erqsloKiE6nr62vLS0tTU1Ntbe3JyQlGBgaPON7xv+cX09fLy0tbWJiYnV1dWduF8omZXl5ubu7Oyg4SFpa+s7dO0oqSoHBgVU1VSMjI/Pz86srq8fZIwYEBCgrK+fm5ZI2OGzPp9Po6+vri0uLU1NTbW1tcfFxurq6z54/e/j4oaGBYXFR8fTM9NraGi/LTMzNzcnLyRsaGX6o87QL9oSKwWA4OTndv3//w4qwsrLyb3/7297gEC8vr08++eR//ud/mpr2L7A7ODCorKxsZW21PUMymYzVwqLR6L5+Fpx+t+Nw7ezsPjjFxMTEHJlqfXl5GaQMwmKxB+1s1NXV+fj49n5eGxsbOBxOXl5+dnaWSCSyekTX3d394MEDDw+PQ16tTAlVRmYGDAHz8PTgas1m5qHRaPEJ8WAwOCyU80ULD8LW2vbe7XujI6z579nb2x/f629ra2t6aloNomZqanp4SNbKykp1dfXbt28zMjIyMjJ8fHz+8pe/wOHwg9aPHynjk+Oh4aFy8nL8L/jVIGrOTs4ZGRl1dXUTkxOHCzmnyMzM1NDQeOP/5phFIlZWV/oH+ivKK8LDwk1NTRUVFAUFBXE6uLKysm0T2fTMdEJ8ghpEjf8FPxQK9fDwyMzKbGlt4WDsZ2ZWJhqNDgoMIuC5G7a8vLLc29tbXFocGBxoZGwkJir2SuiVqYlpWXEZjcojrZqcmPz+3vcWZhYHqSN7QjU2PmZsbKwCUvngMjM3NxccHPzFF1+4ubntbNnb26unp/fll1/W1tbuHX16atrXxxcKg5aUlmxfIZFJ1rbWcBS8oqqC+SXyysoKBAJRV1fffg9kZmYqKSlZWloefheJRLK1s0WikGXlZfuOBYVCnz59uusimUxGIpEoFKqzs3N9fZ35MNMPtLW1Xb169c2bN4e0OVqo5ubmYHCYhpYGG3lmucfq6qqRsREMCuvv6+eB1XsJv2RqYiorJXuIZXlfXr9+fePGjeMXU5ibmzM2MdbX129pbmH+rqmpqcuXL/+Yzqj6evvcXd0hKhAEFKGN1XZydMrOyp4cZ8H+xhHc3NxUwCrFpcWccsWm0qgdHR3xcfFWllYGBgY4PZw2Thunh9PR1dHT1zM0MnRxdsl9m8tGLdcjaWtrMzQy1NXTnZjg0QNOpVLftb8LDg42NTXV0NSAwWE4HVxGRgYPHuSJ8YkbV29YWVod1IA9oaqursbhcDa2NjsXEMvLyzdu3LCz2139IDc399y5cxUVFXtHz8vOkxCXSExK/FBLlrxJ9vLyQqAQ2W+zmd96bmxs+Pn5FRf/y63jyZMn9+7dO/wuCoWSnJSMQCICgwN3fRYkEsnR0fH//u//fv3rX2Ox2A8W78HBQTAYfObMmb/97W+amppCQkJnzpxxd2ctxW1dVd13334XHhF+SJsjhIpEIiUkJigpK53CoNGq6iokGmlhYbG8zPXE1e3v2vV09XT1WDP1lJSUPH/+/De/+Y29vT0bptud4PF4Nw83DU2NgvwC5u9qb2//05/+5Oq62xP3Y6Sntyc2NtbYyBikBELD0IkxiQvznH9rM4mWtpaMnMy+nhR1dXV+fn5+fn6BgYHsZWbLy8/7/vH3v/z1L//wyR/+3x/+nzJIuaubw9Xod7KEX3JwchCTEON95hfGFqOxqdHV3VVRUVFdXd3H16euvo7J5GTsMTY2duXaFUsry4MaKCkp7XJPj4uL++Mf/1hf/8/kBu3t7Z9++mlwcPCuNnAEPDIqcucpy8jIyJUrVxwcHHYNkZCQcPbs2crKyl3XB/sHzYzNYFDY+Ni/3hWbm5shwSFoFDo1OZVtG2lBQQEEAnn9+rA6GltbW3Q6va21DYFAGJsY71qBbWxs6OvrS0hISElJqaiofDAR9fT0yMrKSklJiYmJ8fPzCwoKSktL77tZPIj19fXk+GRJccnsnOxDmh0hVMNDwxAwxMbW5vjGK45Dp9MdnBwe8T3q7u7mdjqAkvwSbQ1tFzcXlvZGJiYmly5dunTp0jfffMNSuO5e1tfXk1KSwOrgkNAQ5u8aGBgQEhKKiYk5ztAnC2OLMTU9VVFZYWFhIcAvgEQha2prTvygVFVVVUpKateXgUwmd3Z2qqurb3/oV65ciY6OZil8amlpqampycPdQ1JCEqQMsjS3FBcTV1JUigiP6O3t5Uaq762tLcYWw8vb69H3jzo6OBCmys4EGIyZ2RlvL28RURE4Ep6ekT4yOsKl3VVvb++Nmzfs7Pep8UalUru7ux8+fHjz5s3Ozs4PBy0FBQV8fHzh4eFNTU1NTU2xsbF8fHyZmf9Wa8PSylJOQa6x8d/KurMqVH5v/KRkpAoKC3aesFAolKjoKDQCHRcVx8b/hEgkJicn/+lPf2Iy6n9xaREGgykqKO495aHT6duv2Z1PH4PB2P6RwWDQaDQ2Hsye3h4LSwtDQ8P37YcdTxwmVHQqvTCnUFBAMDk5+cRfDfuSlZUlLSMdExvD7dJQMRExGAQmKTGJpdrPU1NTfX19g4ODPT09x/T7oNFojU2NioqKtra2zN+1ubk5MTHBgx0nl2AwGD29PQZGBk+fP9XT1SsqKpqcmjxZ/+ZtpKSkxMXFdy2PxsfHhYSELC0tOzs7u7q6Wltb+fn5zczMmOqRsTU6Ouru4S4sLIxAIt7mvp2dnSUQCONj49Ex0TLSMmJiYjExMWyUESCTySQSiUQiHfJ/8/H1+fbWt+/aD0wJygMIBEJzS7Otve3jp49hCFhdfR2dxvl3TlNz06NHj/aNSF1cXJSUlPz973//u9/9TkhI6IN1a21tra2t7eXLl+fPnz9//vzz588bGhp2Pc5qamoSEhK7EhGwJFQzMzNaWlpgMHjX6odKpaYmp6JR6OCQYDbszKWlpV9++eXPfvYzJu3/DAZDU1OTn5+fZ4GqpWWlioqKQUFBhxurDhOqoaEhG2sbFBp1SFLbk2V8bNzZ2RkOh+8NVuAsDnYOEDCkvr6elx5KuxifGBcVF8VoYE5qAjyGTqMX5BdoYDTgCHhYeNhJrff3srm5KSkpuTdZ3MrKSkZGxs50lJcvX5aXl2emz+qKaj0dPQwaExAQ0NDQsHM9u4RfKiktcXFxgapDjU2M29+3Mz/ViYkJCQmJR48ePXr06BDPz6CgoIv/uNjSwsLxJ5cYHhlOTk3WN9RXh6pHhEdw/HFraGzge8Tn47lPCDyJRMrOzk5OTk5JScnIyNglRXl5eRERERERETk5u7MZLeGXpOWkQaqgXQsX5oWKTqOHhYXBYLD4hPhdjWk0Wn5ePhqN9vL0YiPhxcTERFRUVFpaGgKBcHZ2ZuYWZydnCXGJhsYG3qwIY6Jj7ty6U1paevhnfZhQpaWlvRJ+lZyafGqX5DQaraS45Bnfs7j4fVJvcRAUCiUrJ3uc3LLHZ319XURMRBmkfArTnnIcIoEYFxunra1tZWlVWbHbSHKy4Al4KWkpFbDKIW2Wl5c9PT01NTWzsw+zvG9tbZHJ5JTUFKwW1tjIuKiw6KC3A5FITExI1NTS1DfULy5jKvdBbm4uEomEQqGIH/D29t73OxwVGXXpwqW62jpmuuUBXd1dLi4uCCTC29t7apJjDx2VSi0pKRESEAoNOiIekXloNFpDU4OyirKV1W4HDeaFanFhUUFeQUdHZ28uBRqdVlpaikajnZ2dj5O17sWLFwICAsy0TEhIgEKhcbFxx/RoZYbVtVU3N7enT572dB8RnnugUBEIBDt7OxFREd5UCGSbkeERFRUVK2ur45TSOBwKhbKdbpkjKbyOg4qqiryC/KkqecwNRkZGQoJD0Gi0t7f3IcHqJ8XE5ISMnAwChTioweDgoKGh4ZkzZ7aLiB8CHo9PSExQhaja2NkMDA0cOXRrW6uhkSEGgykuKj7SCh0aGgqBQD7kh4yKivrzn/9cV7ePGsXHxt/85uYHx7bTwNraWmxcrKqqqrubO6dqJmxsbKRnpEtISBye0Y4l1jfW4+LiUChUTPTuk+ClpaXr16/vdWHIzs4+f/58W1vb9o+bm5uFRYWS4pIBfgH7DlFdVY1Go63trI8jVMLCwtLS0sy0rKquwunibGxsDilPxSk6OztNTEx0dHSODJw/UKgKiwrRGmhnF+fTU113X5aXlyMiI1TBqgkJ3MqEv7S0JCMjo66uzqX+mYTBYOB0cUogJa76gJ0409PTDvYOYDA4MTnxdG7le/t6FZUU9fT0DmqQlJT01Vdf/elPf0pKSjrkTyASiZGRkWAwOCwsjPnSmqNDo64OrspKylnZWYe7V2xubu4Us/Dw8K+++qqhoWFvy9TU1IcPH+a8zTlVm/Xt0o5QKNTSynJomANatb6+npaeJiouGhPLMfciIpHo4uKCxWJLSkp2jVVWVradF2anQ83i4qKbm9unn34aHR29fRw1OjaK08WZGpq2t/zTqDsxMdHf39/f378dMNDd1Y1GoY2MjI4Txvry5ctd3owHMTw8bGFlAVYDc7UC1jbJiclwGDwiKuLIJ/1AofLy8lJRUqksqTyRTCfMQ6fT33e8fyX8ytqKW8kXZmZmZGVkUUgUl/pnHnMzczAY3NrWejp9W47P1NSUqYmppqZmYVEhVwtysg2dTm9pbVFUUjQ1Nz2ozfz8fFNTU11dnbi4+N4wmm3W1tbcX7srqShlZGaw6go0PTUdGhoqrygfGR1JpTF7kBAeHn727Nl9hSo7J/s5//OEpITTVl+KQqE0tzRraWnp6+kPDB694zyc5eXluPg4BQWFlNQUjkxva2trYXFBW09bX1e/q/3flo9VVVVXr17dzgtjYvKv0pS+vr6fffbZz3/+8y+//DIlJWVra6u8vJyPjy82Jnb7TTs7OyshIfGPf/zjH//4h7SM9OLC4vzkvBZaC4fDseTJtQshISEpKSlmWhKXia6urqKioj09XM+WZ25mLi4u3tXddeQL7UCh0tTSFBcVn5/hdZJyNiASiYJCgggkgtXknkwyPjkuLyevqaHJjc5ZwtzSXAWs0tjUeII+Hdxjenra2dlZQ0MjNy/3NLj27QuFQiktKwVDwLsyDuzLN998AwaD916n0+iBgYHq6upRMVHsvX0WFxe9fb3V1NWYzwIQGxv76aef7hvjkl+QLyIqEh0TzcucZMxTX1+vpamlp6d3zFIpi4uLwSHBKmCVvQ4RbDM3PwdHwg0NDYeHhndeHx0dDQgIiIyMDAoKKir6V5ml+vp6f3//yMhIPz+/zs7OsdExdzd3CATS0tqytbVVVlYmJydnYmLi5eXl5eVlY22DRCIzUjNMDE3QKDTzVX5IJJKJicnLHZiamu51iN8XKo3q7eX9/MnzjvfcdV9aWV2BQqFysnLMpBffX6hWCatqqmrKysqn9n2xEwqFgkQh1aBqA0MDHLddMBiMru4uJSUlYyNjzvbMBi6uLhB1SElZCW8SBfESIp6YEJegqKiYmZlJ3jxd6/qdkMikrOwsdaj64Rlftra2VlZW7t+/j8Hs9tJc31gvKy9Thah6+3gfZwdDIBCsLaw1UBpt79qOXJAWFRXp6+tbWlrue5RbXlGuoKjgH+DPnlNyZmammZlZYGDgcZb8h1NQWAACgYKDg4+jVXNzc28C3qipqx1ZhYB5ZmdnVUGqxsbGk9PspEfJfZurIK8QHhG+bQasqanR1dX98De+e/fu008/dXZxtrK2UgGpMB9IRyaTHR0dFXfAkuf2G7839+/c56qzN51Oz8nJgUKhvj5MBXjtI1R0Or2xphGhjrC1tf0oTExUKjXAPwCFQqVnpHNcWbcDmFRUVGysbTjbMxu88X0DhUGz32af5lc5e+S/zYdBYH5v/HhfaYwlSCRSWkaaGlTNP8D/yMY3b95UU1PbdbGvvw+iBrGwtGApzei+tLe06+P0dXA6s/NHvL6VlZW/+eabgx7nhsYGGALm5OLERvbkqqoqBQWFb7/9dm8MEAdZWV1JSEwQExV7m3VgtfIjmZufCwgMUFdX56BQTU9PS0tKm5mZEYjshHL6v/F//Ojxh7QXu6ipqTl//nxgcKClpaWMjAyXIr73EhwcfPXaVa7G/CwsLMBgMD09veHh4aNb7ytUGxsbQcFBcCQ8MSnxVB2uHgSDwSgrL8NgME6OThxPm0uj0eob6lVVVe3t7DnbMxv4B/pD4dCst1kfxQKCeTY2NsxMzSQlJI+ZaGoXVCp1aWlpdnZ2enp6enp6fn7++CZTEomUnpkOg8GCgoJ2/YpGoy0sLEz/wMDAAB8fn76+/q422dnZfE/40tLSjv9w0en08LBwUVHRwqLCQ6JB8Xi8srKyqKjoQQ0a6hsQcISbh9vYOAuusxQKpaam5sWLF8HBwYuLi0tLS1z9Wvb19UlISLg7uS/j2XSxmZuf8w/wB6uBc/NyOTWryclJQQFBCwsLNlyCyWSytbW1oIDgQR7L9fX1X331la+fr5WVlYKCAs+EKiIi4sLFC/seZ3IEGo1WUVUhKCTo7evN5FOwj1ARiUQcDofVxr7v+GhSbs/Nz2lqaoKUQRz/LDfJm0X5RQh1xBufI0w9PCA1NRWjgYmIivgxmf4YDEZGZgYUDvX08uTshri5ufnJkyfffvvtjRs3bty4ISUldXyPWzKZnJObA1YDb5cL2sn8/LycnNyNH/juu+8CAwN3LRjb37WbGJsYGhoODBzXNWCbnp4eExMTXZxub8/+mfpIJBIEAsFgMIeUhy4uKZaUlgwOCWbJxTcrK+vFixcRERE8CLjZ2tpaW1sLCg5SU1NLSWbTFWJbqKBQKEsJMw9nbGzs7t27NjY2bCw7Ojs79fT0tHW0Fxb3T8rQ2Nj4xV+/sLe2t7Oy09DQ4J5ldRcJCQk3btzgXrjC5NSkg5MDRgNzUFGuvewjVPPz8y/5XxrqGzJ/dnfiMBgMQ0PD58+fT01zOCZ3g7SRkZGBhCHDgnlXUmQn5E1y30BfY2NjYV6htqb2nVt3hEWEzSzMnJyctLS1ZP8dNaiara2tvaO9rZ2tvb29m4dbSmpKVXVVR2fHEv6UhhkwGAw0Gq0CVhkcGuTsDj4vL+/MmTPS0tJWVlZWVlZ+fn7Ht01RqdTKqkpVsOqugnhbW1srKysBAQFWP2Bvb783K0x4eLgAv0BxcTEzxlsqlerg4LDzKH4vFAolNTX14YOHubn77BJmZmaMjIyMjY37+vrGx8etra33Ne7l5ecJCQvFxMUwv86LjIzU1tZ2d3fX1tZWVVVNSjqwLCynYDAYk1OTYuJi2traDDo73xPiMjE2LlZWTnbb3Y4jjI2NXb161caWnXOB6JhoKBwaHRO975u2oKBAS0vL87VnSWGJvq6+Lk6XZ0KVkpxy7/a9vLz9iyAfn6qqKkFBwYjwo73SP7CPUE1NTX33zXemxgd637LB27dvuZ2gxdbW9sXzF/09HC5lu0HaSE1LhcFhLGWDPQ6zc7PNzc0ZGRlBQUHu7u42tjbGxsb6BvpYDSz/U/4L5y/cun1LTkYOAoZISku+evVKeAciYiJKSkrKSsrKSspKSkqKIEUYAobVwRoaGlpaWrq4uPj6+sbHx1dWVo6MjnCj9C0bzM3NCYsKa2hqcFal6uvrbW1tbWxsOPt40xn09vftysrKJqYmR7f+d8ibZBtbm6dPnzJzFDQ/P29gYPDLX/7yyKIJjY2NL168CAgM2OXQ39bWBgKBzpw5o6am5u/v//Lly//4j//YN+A3Oytb4IVASmoK836zKioqly9f9vDwAIPBwsLCKBQqKyuLB29SKAwKUgWNT4yz8W3Z2NjIyMwQFRONjo7m1Hy6u7u/u/kdewUKdPV0ZeVle/t69zWZWltbf/LJJ7MzswsLC0gk0sDAYIPEI6HKycrhf8qfmprKDT/qpcUlPx8/MTGxxqZG5u/aR6iGhoZu3759SCZ8liASiRkZGV999RW3i8y6ubmJCou+a37H2ffdxsZGamoqDA4LCeOWUNEZ9IWFhb6+vqampvTMdG9fb11dXSkpqXv37l2/fl1QQFADhmQ/2gAAIABJREFUrWFtZe3p5WlsaKwgp2BsbFxbXtva3Lr3RIdAILS0tLTUtbQ2tTY2NZaUlgQGB9ra2urp6snIyHz33Xc3b958+fIlEol0dnFOTk6uqa7p7Oycmpo6qZKYVBq1urpaUlrS2YWpRGTMo6mp+eWXXxYWFtbV1XE2cHhgcEBWXlZLW4vVG8cnxo2NjdXAake6rk1MTISHh//973//1a9+FRJyxBdvoH9AU0vTyspqV+BLXFzc5cuXr1y5cvXq1StXrly+fJmfn3/fRDPJicn379xnycVAW1v7N7/5zYsXL7aDUk1NTa9du8ZqtTZWodPp7h7u6nD1vPw8NqzEJBIpKztLXFx8bxYJtqmtq33y+In/m6M9a3axvr4uJyenpKS0r0oNDg7q6urKyskS8IS+nj4kCmlta00i8+ghLS4ulpSUDI8I/1AWi4NkZ2WrqKiEhIWwVDJpH6FqaW15+Pghp14c9fX158+fP3PmDLerIgUGBMpIyxQXF3M20dEGaSMtIw0Gg4UEc16oKBTKyspKfUO9t6+3qqrqwwcP796/q6Cg4GDvkJyc3NjYODAwMDExMT8/j8fjt8MV0Uh0iH/I6vLqQQfXdDqdTqNvQ6FQVldX8Xj8wsLC1NTUyMjI+/fv8/LzfHx90Ag03/d8t27eEhMXs7Kxepv7dmZmhvdytb6xnp6erqqqGhrGsfRr29jZ2f32t7+9dOnShQsXgoODOfinTc9My8nLsREA3trcaqhraG5svrR4hBnWwMBAUlIyKyvr+vXr+6b63sno2KiFlYWhgWFjw78tUZeXl0dGRiYnJ0dHR4eGhkZHR2dnZ/d9v8fGxt64fmPfUn4Hoa6ufu/evQ+yZ2Zm9vXXX3M7GSaDzkhKTEKj0aFhoWx8oDQarai46IXAi8DgQE5Nqaa2hu8JX4D//tmPDmI7bFxeUX7ffTmZTIbD4WpqaouLi2ura4VFhRgMxs3FjWcp3AqLC0XERULDQjnuxkmj0swtzAWFBAcHWbPz7xYqGo1WVlYm9ErI35/lNcK+zM/PBwUFffnll/b23PWai42OVVVWzUzPXFvlpD8FmUzOz8tHqCMOysTFNtMz08GhwQryCmJiYhg0xtHRMSwsLPttdn19/ejI6L6nBenp6RoYjYjwiOO4p1Op1JmZmfa29sKCwtjY2NevX+vp6cnLy4uKiFpYWrx7z9NM+aurq3EJcapqqpHRkZzteXR0NC8vLzk5OSkpSU5OztiYY2FwKysrMtIyYNA+kbyHU1lZidPGOdo5Hln0HQQCPX78uL+///79+0dGFk9NTrk4uGhra1dUsqA0O4mIiLhwgTUvL1VV1Z1JTs3MzL755hse7KiSk5MRKERAUAB7K4/aulo+Pj4mizMxQ01tDd9jvoA3rL0c1tbXIiIjEAhEXNzubNoEAmHbb7uvrw+Px4PBYCNDIwsTCx8PH06Vkz6S4uJiCQkJbuyoCnILUHDUa4/XZBJrb7DdQkUikXJycsQlxQ8vDMwS6+vrN2/eZLYwD7ukp6bD1eHR0dGcrU1FpVJrqmvUwGquzhzbEZaWlJqbmEPVoUgkUltb28vLq6iwaHLi6IDBkNAQKByamJzIwf0BgUBoqG+ICI8wMjZCIVFQdShWExsdGc2bHI/LK8tRsVFq6mp7n1gOkpiYqKqq6uHhwZEgLSqVKiEuIS3JVIrPndTX1evo6FhYWuCXDksr7O7urqKikpyc3NPTc+PGjSPPqKanpt2c3bBYbFlZGatT2iYwMPDatWsf0qQyAxgMfvbs2YeAZZ4JVUJCAhKFDAkLYe8RaG5ufvz9Y6/XXpyaUnNz84MHD7y9vVm6C0/AOzg4aGtrl5eX77ze0dEhLS195syZGzdu4HA4AQGBM2fOSElLOTo4xkbvTqQ7Nz83OTU5PTM9Nz83Nj5WUVlRkFdQUliSl59XVFzU3dM9MzszMzuzHSzBUmh5fn6+0CuhmNgYzvrTzc/Pa6I1dbR0pianWD2g2S1Uy8vLcQlx8gryCUkcy/E6MTFx/fp1CwsLTnW4L/n5+WgM2tfPd26e2fyezECj0RoaG1RUVOxs90/axjwMBqOlpSUwMFBLQ0tcRFwdop6UlMSSrPr6+qpB1TKzM7lhBGBsMWprag31DCXEJMCqYCdHp+LiYvbCGJlnfWM9LSNNRUUlNITDpr9deHl5ff75511dnMnnKyUtJSImwuoxyWD/oIG+ARKDPMg6Pz8/n5qaqqysnJaWtrW1tbS0dOXKlSNtG2PjY1bWVgb6Bg31bAa++Pr63r93//ASq7uQkZF5+PDhhx/Nzc3//ve/H5kD+5jQ6fSQkBAEEpGUnMTeI9Dd1X331l1nJ44diPb29H7z7TcuLi4s3bWwsGCgZ2CoZ9j+7t+qi7W2tkpKSiorKSsoKEhKSoqIiAgICEDAELAa2MjEKCMjIyIiIjg4ODg42Nvb297B3tbW1s7Ozt7B3trGWkdHRxOtidXAYjQwaE20iamJvb29nb3dNu7u7v7+/sHBwSEhIcnJycXFxQ0NDT29Pfu+f7Jzsh8/eZyamsrBVG3r6+u+vr4QMCQjI4ON23cL1cLCQmBwIBQKfZvDfgT4LngjVOXl5dra2q4urpxd1tFotNa2VhAIZGlheZx+ZmZmCosKNTQ1BAQEnF2c+/r7KBQKq162Pt4+UBg0Nz+XS1kNt7a2qFTq/Px8UkqStLS0tLR0ZHTk4NAg93KV0un01rZWEXERK+vd5Xw4i5eX11//+tfu7m6O9AZWB4tLic8vsLY/IxAJFhYW4uLi2w4Ie6moqPj8889tbW3b29u7urpycnLOnj2rp6d3+NlPb2+vmpqavb39yOgIS/PZhkKjeL72fPbkWVcnCyqur68vKira0tLS0dHR0dGhr68vIiLCfA549qDRaEYmRhA1SHNLM3vv0PHx8WvXru2tHcU2IyMj165dOyj18EHMzs5CwBALY4vZyX9zq9nc3JydnR0aHurs6mxubi4rK4uKilJRUrl+7frd+3cF+AWuXbt24cKFixcvPnjwQEFeQUVFRVlJWUFeQR2i7uzk7O3t7eHh4ePt4+LmoqmpqaykrKSoBFIGgZRBAgIC169fv3DhwoULF75/+L2cjBwSiTSzMAsNDy0sLGxqaurp6RkdHZ2dmyWTySkpKffv3z88LoIlqFRqXV2dqIion58fe7GSu4Vqbm7Ox88HCoNy0ImeN0JVU1mji9W1d7SfnOLwsm58YlxeTl5Lk2Uvrw8MDg3idHGCLwVtbWwbGxtZcnfZibmFOUgVxIOktGvrawMDA6EhoXKycnIKcgVFBdzLUbKEXxITE0OhUdzLa0Cn011cXL7++uve3v2jYlnFyMhIUVGxq6uLpX8LnUH39fV98uTJQY65DQ0Nf/jDH7744ourV69evHjxq6+++uUvf/nHP/7x8Genrq7uwYMHoaGh7IWBT05N2tnbgZRAQwMslNKYnZ0NCQm5dOnSxYsXL168iMPhxsbGuJ0adG1tTUJSAgqFsr1ympiY4KxQbQf8surSPDU1JS4mbm1pvW1bYzAYNBptcXGxpqYmKCQIrYEWFha+/+D+o//P3nnHtXGn+d9Xfnuv3G0ue8lt9pLdZLOJHW82ceKW2CbuFZtmegeBUBcINYoQvXdTTe+9dwMG03s1vYpqU0QXEhJqvz+0YVkbBAhRksz7LzSMvvMdaTTPfJ/yeW5dV1FWkbgscen7SxgjTFpaWnNLc1tbW3t7e3d39/Dw8MjICIVCEWTKUGep8/Pzc3NzC/ML1DnqxMQEZRN9fX0dHR1tbW2tra1FRUVR0VEenh44Ak5eSf7Hqz+e+e7M95e+V1dXtyBblJSUODo7fv3t1y/KxFbw29XZZW5ubk4y7+rqEm2EtwzV7ExgUCAEAvnZGarKykqsMdbVxVXsqUdT01OqKqJkeQloa2wzMjQywhjFxccND+2rrY6FhYUuSHc3IqRiYWFhofBZoY2dDUgPlJKQwls/EFvFZrNNTEz0wHoHd14uLi7KyspFRUXi0lDwD/QH64MLcgtYzL0tbQufFWppaoWEhbzdy5XP5y8tLeXm5kZGRgYHBwcHB9vb23/00UfKyspCdK9XVlZiY2MlJSVLS0q320c4jbWNJgQTshV5r64IKpUaGhoqmOqe4luiwWazG5sa5eTl7B3sRR5kcnJSQkJCjPeiiYmJu3fuWltb7+nZ8fWr1zdv3vT08uTz+Z1dndHR0SgkSuGxgoqKCgKJsLW09fLwCggMiI2LzcrMAuuDtbW08/PzxejYWFpaGh8ff9nxsuh5UXJyclh4mNcTL3sHe1NTUzQKfe7cud+9/zscAVdaXLqyuN+fDJ1BDw0JVZBXqKquEjkf5E1DtbS8FJ8Yr6GpIcZS88OMUQX4i1/VdG5uTklRCWIA2esb2Wx2yfMSnDHOwsKisXEP1W3bYWZmpqOr09HZcZgajK+nXvv5+cGh8IiwiC1vr/uEx+PV19fD4DBzkrkYf4qlpaX4n9DS0npbmm8/FBUVGRsa+7j7LC3uLS1q6vVUgF+AlpbWloW3bzA3N3fmzJngYGG51LU1tTAozM3N7fUrET3eGakZSAgyKiJqeek4tqncYHZ2Fo/HG+OMm1uaRR5kanpKQVHBxNREXMHX169eKyooki3Ie0qQa2xs/Ns3f7t+/bqNtQ3GGINAIMBgMAaD8fLyevbs2cTIBI/9jx+4qZkp2ggtLs0tIUzPTLe0tMTFxMnJyb3/+/cfKzzG4/B4Y7ydvV1cfFxrW6toEgEZmRma2pr+/v770bd701CxWKxnhc+kZKVCw0JFHvQNlpaWzp8/7+TkJK4BtyQlNUVPTy8hPkHsuf/MNaaSkpKGhsaenvfZLHZJcQkcCSdZksS1yANDwKrqqgedW/U2PB4vLCJMR08nLDRsfvZAsgFdXVylpaRfdrzkcMXj1YyKirr0E2LsPyRgdGSUbEaGQ+Az03uOyjQ2NCorK/v5+u2YR9Pf3//JJ58I+eGwWCwvLy/Jh5L7uXd7eXupq6rXVtSyWce3pw+LxSouLpZ8ILlPUYn5hXkcHocxxrS1i2cJOD01raOtY25uvhvxNi6b29Pdk5eXRzQhfvjxh598+omivKKJiUlSUtJ2YiUMBkNRRREKhx6mBFpUVNS3Z7/19vEODApUUVW5eeumuoa6malZZERkdXX1nvKBx8bHYHAYBAbZ5zPum4aKy+VWVFQ8fPRwx3Y7u2Rtba2uru7zzz9HIpEH2sEhKi5KXUs9NyOXQRO/0IiBgYGqquruY0scNqeqtApuAHd0dBTXFcbhcBTkFdTV1Y9EOp3FYqWmpYK0QTFhMYtz4k8FrKmuwWFxjk6O2ylJ75W1tbXFnxB7SG99fd3W1vbunbsizHZ+YT4iKgIGg6WnpQtfGVMolOvXrwcFbVujU11djUKjyNbk/ZRkYHHYR48eHXTC3j5pa28zNze3JFv2dO8rHWZlZeWJ1xNDQ0NxdfqYmZmBQWGmpqbDFGFefTqdPj01/aL4Bc4I9+jRozt37nz8yceOzo7Ly8t0On2zQ2x+fn7zy8XFxVu3b6HRaB7/8JwoAQEBN2/ebGtrY7KYy8vLQ4NDBXkFdlZ20o+kVVVV4+LjBocG5+bmdlxgzc/PO7k4GRsbl5eVC99zR7ZQpmhsarxx64aH584NTHdDY2Pj+fPn//3f//2DDz4wNTUVy5hbEhoaqqKiUlRUtNdSst1ga2Oro6PT1Ny0y1ve+Pi4hoYGkUgUY9+K6ZlpeVl5JBQprgH3Co1Gi46JlpKWysnJEfvga2truTm5aqpqycnJh6Zpth88vTwvXrwoQnCYx+PNzM7giXg8Ht/dKSzRjslk9vb2bpdKN0udxWKxKCRqZHREZFfwCm0FAoEoKSsdmuCpCMxSZ719vPVAeo2NjfsseqXT6TExMUgkMjExUSxzm5+fJ5mTcDhcU3OTkH1iYmM0NTSlpKTIVuTi4uK4uLgrV668rcZSWFgoyKXc2NLT23P73m1LK0uxzHY3zM3PObk4PVZ4vFlti8VkvZp81dTYFBoSCtIF3b57G2+Cb20T1rBqaWkpMSkRCoEmJSbtNZT7Nltr/V38/qK4tP7Gx8f9/PxCQkL8/f3F7oHZjKeHp4y0TGNTo7h8R5sJCg6CQCA52Tm7sYILCwsJiQkKCgqZmZlCdquqqpL9ifz8HYoBOBxOS2uLupq6rbUokonl5eUbxyouLhZhBAGjY6M6OjpW1laDQ+L3mC8sLAQFBYFAoKSkpOPfcCshIeGh5MO8vLzdNNJ+m7b2Njwej0ajhf/at2Py1aSFpQUECiktFTGHgs/n83i8nr4eAwMDrDH22PbyplKpXl5eSATy2bNn+y8fXF9fLyougkAgvk/2VqK7HUtLS+4e7hgjTMnzkrf/OzYy5ubipqmpCYFAyGRyVExUT18Pn88fGRn5/vvvvby8Nu+cmJj4zTffvPPOO7W1tYItLBar6HmRopKiuPxbu6F/oN/S2hIOh49QRgRbRkdHCQSCrq6upqbm9WvXP/30UwQKYWJuoqGpgcViC54VvP30wGKx8vPzQSBQVETU7IwYHGlbGKrp6enzZ8+bmx595/U9YWNtc/PGzQMKOaZnpsOR8KCnQbQV2o47V1VXqWuoBz0Nmnq9bfejxMRECASi/BNGRkZZWVlCnhbX1tbycvP09PT2Km3F5XLj4+MNDAw2joXBYLKzs0XzhjGZzNLnpVraWj6+Yqvt38zc3Jy3tzcCgUhISFhYECbfcOSUl5cjEAgfHx+RA5Bl5WUoQxTRlFhZWcle34OdGOgdsLe3N4AZPCvcV2oum83Oz89HIBC+vr4HXfAgGj19PV5eXigkKj0tXSwD8ni8gYEBHR0dPA4vlgHpdHpsXCwUBn0jeLa4uJiWmkYyJ2lpaQmu5+mZf5RMjY6Onj171t7+n9IXU1JSLl269Mc//rGp6e+Ls+Wl5YS4BD2QXnJyslhmuxtqa2sJRIKtre1GLLyhoeHEiRNnzpxRVlbW0NAwMzObmJzo6u6ysbHR1tZGoVCe3p5vxPxKSkvQaLSbq5sIQdwt2cJQzczMSN6XNCWaHppY7/7hcDmmpqZ37tw5oESDhsYGDBZjZm42N7dDSJDNZoeEhPwo8ePG1bYlaDTaxMRk46VA4lNIVszy0nJ4UDgKgUrP2NsvlsvlwuFwMzOzjS3a2trnz58XWYSJxWJpaGiAQKADapfHZDKfBj7V19ePiIwYnxBnw1/x0tvXa21rjcViOzs7RR7kZcdLohnRhGhS+KxwN0l36+vrL9te2lnZwaCwmtoakY8rYG1tzeeJDxKJzMvPO25LWDab3dbW5uDoAIVCxeuJodPpGhoaampqYrHNbDa7qalJQ1uDbPV3iTgujzs4OBgaEqqurg6FQ4ueF719oPHx8Tt37tja2PI4/+SzTU5OPnny5EY1AnWGGuAdgEahC4vEE1HbDSnJKVADaGxc7PLKMv8nIX9lZeUtKxCGh4efeD9RVlEmEolV1VUCndW29jYikWhhYSHGAvCtO/wS8ARjY+OXHS/f/u/x5NXrV0ZGRrq6ugd093w99dqcZK6hobFji9iJyQknJyctTS3ha7u5ubnNAXADA4PLly8LMVTUWaq9tb0p3rSudue05jffS6VuZEJyOBxdXd379+/vJxGcbEHW19dvbm4+oLsbfZWelJSkq6vr7uneP9B/PL1Si4uLIWEhUjJS+2mEyuPxxsbHXFxdwGBwQnwCjUYTEm1aW1urqqqCwqAIJKK7u3v/99mVlRUIHIJEI/sHtm3+eySsra1V1VSZmZsR8cS6ujqxC4bp6+vLycmJKz2YRqOpqKjo6Ojw+fy1tbWmpiY0Gq2srJySmvJ66vWWVdivXr1SUlKyIdu8UaWUmpq62VCNjYyRiCQrktUbSktCYLPZNNq2rRV2g5OTk5K80svml4JL0dXV9dy5c+Xl5dtZHRqN1t7UjsfgtTS0MtIz2traLC0tyWTybpqu7Z4tDBWDwQiLCEOikGkpaYdZryMyPB6vtKwUhUK5urgeRCYFn89nc9iW1pZXrl4ZG98hy6u+od7ExMTGymZPHiEIBHLt2jUhhmrq9ZQhypBkTtqPtgKDwYBCoRgMpqOjQ+RLmcfjRYRHwOHw5JTkg5NWWl5aLikpwWFxCCQiNy/3GF6HXC63vLz8+x++338XvvHx8YjICDAYTCQSW1q37i86PT0dHhaup6fn4ODQ1S1ief8bjI2N3bt3z5xkfmj9I3bD4uxigG+Aro6uo6NjV2fXQfgkCXiCspLylq25RAOiD9FS1+of6A8KCdLS1jIzNauqqqLRtg0TTE9PQwwg5mbmo6Ojm7cnJCRsNlQ93T0aahrubu6b3YbCSUhIAIFA+3EsGRoaSj6QnJv9u+vI3t7+xIkTly5dunz5shDl6MH+wcjISA1NjVs3buFwOLEXgG9hqLhcbn1DvQHYwN7W/hjeIN6GzWYHBAQgEcic7JyDc7W7ubtduHhhx3tEVmYWDAYLDwvfU4jFwMDg22+/FXJlj4+PP7j/wMbWRrAeF4GBgQF1dfUTJ07sv6Ct+HmxoaGhh7vHfir4dkN1VbWltaWGtoaJmUlpaelhZujuhsHBQTV1NTt7u/27KBcWF5JTk1EolL6evq297WaP/9z8XHR0NBwORyKRAf4B+xQ32YC2SsvKznqs8DgqKkosA+6fubm5mOgYGASmr6fv6+Pb29O783tEwsnFSUtLq762Xly3C083z9s3bkOhUIwRxueJT2fHDt5g6iwVh8GZm5i/kW3/hqFqaWmRkJB4+vTpLnMdY2JiTp48+ec//1nkGg/aIg0OgauqqW5kgb58+dLd3Z1MJpNIJC0tLSFa/t3d3Xfu3vn666+lpaXT0tNEm8B2bGGo+Hz+wsICSBekpaklmnrYIbO+vg6DwcAGYAqFcnD3sti42IcPH+bm5wpfRmSkZ0Ch0IjIiIXFXRkqFotVVFQEh8Pt7Oy2G5nL5TY2NkpISIjQSHSDnp4eBQUFZWVlS0vL0tLS/TgHSkpLDA0N3VzdDtpQ8fn80fFRV3dXFTUVJBrp7+9fXy+2m8v+WVpaioyK1NHVSUkVj4xLS0sL2YKsC9IlW5Kzs7KbG5vLysoCgwIRcAQCgUhNSxXjEnZoeAiFQlmSLft6xaN/uB9mqbPPnj1zdHQE64P1wHrJKckHGiCPiYmBQCBJiUniuoA9vT3/8NEfrl+7npGWsZu8mOWlZS8PL4wh5o0U3DcMVUVFxZlvz8THv9ng421WVlby8/NRKNQ333xz7tw50RJ8eDxeW3MbCoYiW5C3NI0BAQGKiorp6elvh+p7e3ufeD8hkUgxcTFW1lZIJDInN0eMK/WtDRWfz0ej0TLSMtNT08fsKXYLlpeX796/C4HtWeJoTwiKK11cXd5Yrb9BTW0NgUCwt7Pf5ep7bW3t/PnzCIQwIcHl5eW4uDhlZeV9RpUF62MQCHTz5k2Rb3k8Hi8mOgaBQMQnxB+c6+8N+gf6nZydpB5JIRCI7Jzs/oH+XT4HHDR9fX3S0tLW1tZi9D20t7Zramp+/dev79++/9XXX1358UpIcIhoSfBCqKysvHnjZkJ0Av/osijYbPbk5GRbW1tQUJCSspKamlpKasohPP20NLYQcARTM1OxSBAMDw0bwA0+O/kZDovbsSXmBtU11Zramo7O/9ROdrOhYrPZqSmpt2/dLny2cybF+Pj4yZMng4KCgoKCvvvuO9HiQywWKyExAYlERkdFb/c4GBYWdvLkyc2CcDw+b2hoyMrSCoVC1dXXcblcNocdEREBgULy8vLE1TlvW0Pl4+Ojq6lbUVKxzjzWiyoej9f+sl1aRtrOzu5ADzQ1MeXv7a8H0mtoFNb1Z3Rs1MHBQQ+kt0sP+KtXr86fP785A/BthgaH7Gzt8AT8dgGMPaGjoyMhIbEfG2NrYwsGg+vq6g5zcTO/MN/a1urk6PTo0SMVNZWgkKCh4aG1tbWjXWCtrq6CQCAUCrVjls1u4HK5HA6nrr7OGGt87vy5T/70yf/87/9cuXrF399/fGKcw+GIK3uFtkqLjIyUeiRVWb6t3O3BwePxWCzWwsJCRWUF0YR45+YdbQ3tmNiY4eFhsdvjLWGsMRwcHCQlJSnDlH0ONTY+RiQSscZYsD4YpAsSbvlYLNbq6urq6iqDwVhbW9PT19PS1trcnDA5OfnUqVOCOqoRyoiHqwcajm5v3bnp9suXL0+fPh0bGxseHi6yoWIwGPb29igUqqqqarsHr9jY2I8//nhDqZLH43V2dRqiDQl4Qmtb64YHbmVlJSoqSk1NraiwSCwX7baGqvRFKdoQ7ezsfDidXkVmaXkpPDIcpA8So4rulnDWOdmZ2ZcvXc7LF7asYbFYT58+vfrj1d2EE/v7+5WUlBwdHSkUYT+YFy9eyCvIh4SGiKV58T5XVFwuV0tLS1tb+0jqnEZHR3OyclwdXKH6UGkpaV093aSkpCWqmNUddw+Hwwl8GgiHw7OzRCxN26C7u9vD3UNZWVlZRdnMzCwiMqKgoCArO+vp06coBEpWRhYBR8TGxYqlL2h7W7upqakF2UK48M9BwGFzykvLba1tZWVlZWRlsDjs06dPa6prxC7RKZygwKDL319ubNiXVHRffx/JkmROMm9va3d3c7969erwsLDPk0QiXb169erVqyoqKlQqNSg4SFVdtba+dsPPlpmZeerUqdbWVj6f/7zkOdgA7OfrJ6QcU0BNTY2srGxwcPDExISbm9u3334r3OuzHaurq9rq2mgkWkjuRmxs7EcffbRhqCoqKvT19S0tLV++fDMvcXZ21j/AHwFHiKW6YFtDRaVSHZ0dpWWk+/qP3oUthMGhQQ0NDTt7ux3z8fZPfUP91atXo8Ki1teErTJflL1QUFSIjIicoworumpqasLj8c7Ozqurq7W1tWGm91jMAAAgAElEQVRhYdu5dGPjYs9fPF9WXrafyW+gpaV17tw50ZbkLBarorxCU1NT0KHgqKC+puZm5lpbWUPhUAOIARKOdHJwysvPezUl5g4vO8Lj8QYGBxBwhBHKaI2x54+UxWK1trVGREUQTYhQKBQOh6PRaG9v7/Ly8hXa3xOX56hzmRmZ1lbWKBQKDocj4UgHO4ec7Jy+vj6RTWNEZMS9+/cKiwsPZwXD5/MnX02WlJa4e7hjsVgEAoFAILA4rLe3d2NTo2ia3PskKyNLVko2JTVllS6ip7G/t9/FyQWHwwlcLEkJSZL3JEuLS7dMPB4bG/Pw8IDD4SgUCoVCGRoaWlhYuHu4E0wIzs7OgvKjvLy8a9eunThxQlpaurW1NTk5+c7dOyWlJcIjPdnZ2YaGhj4+fy/A9/T0PHfu3PLynlOueDxef3+/9CNpW2vb7dZAaWlpurq6Pj4+8/PztFVackoyAo6wt7fv7d067WVufs7dw93IyGg/+ikCtjVUfD4/MyPzoeTDzMzMzYvTYwWbzX7+/PmN6zeSkw6jcntwYBAKhjrbOY+PCMvymp2dDY8M19TSFCKMVFtbe/fu3d/85jfh4eHJycnffvvtN998s6V3nk6ne3p53r5zW+TutNXV1XGbMDAwMDMzE00zjTJCgUKhVtZWx+TxZWJyIjgkWE1DTVZGFg6HOzk7hYSEZGZmVldXDw8PM+iHpF9HMiXJPJTZ5WPszMxMd3d3aUlpUmKSj68P0ZSooakhKy2LwWCKiouE/NZGx0ZjY2JB2iDph9JwGNza2trP3y8lJaW8vLyrq2v34ZalpSULsoXkI8kDraem0+kjlJGG+obsrOzQ0FAnJycjIyNZWVl5BXlnN+fa+tqjzShubWklEAh2DnaiadksLC74ePtA9aD1NfWC23pbS5sJ3sTW2nbLtMzS0tL//M//3OjCTqfT//jHP6JR6AD/gMdyjwV+44iIiFu3bklKSt64cePZs2d+/n63bt/acXpaWloffPBBYmJiYmKiIJL9ySef+Pn57TVDfXl5OS4+TkdHJy3tnxL2+vv7N24dmpqaAr3WmdmZmNgYA7CBk6OT8KXw69evrays0Gh0T08PlyP6E4kwQzUwOGBnb2eMMW5v29lJeiRQRiguLi5IBFKwWD5oqDNUP28/BAxRVFwkfM9hyrCauhqJRNrucjExMfnzn//8ySefnD59+ssvv/z00091dXW3fHRqbmnGE/EEE4LI+tZYLPbkJnaf7foGNBotJjZGQVHhIERpRYbNZtPp9I7OjqeBT7U0tK5KXJWQkFBVV7Wzs0tLSWtpaaFQKNPT08vLy4w1BptzILXDGekZYH1wbFzs248aLBaLTqfPz89PTk729faVlJQEBQWZEE1kpGUuXrh46/YtPAGfnZ49NTnFZDJ39OZzOBwGg9HV1RUSGmJoaHj9+vXvL36voKCAI+ACgwIrKisGBgYmJycX5heWl5cZDMaWA2ZlZ6FR6LCQMDHmwjCZTNoqbXFxcWpqanhouLWtNTU11dnRWV9P/8rlK+fPndfR1vH29K6pqRGogx953cvs7GxISIiqqmpFecVe38vlcuMS4pAIZFRE1Ibc6vLyclR0lOQjyS1vDo2NjZcvX/b19RU8iFRXV0tISMTExKSnp9+6dauivILL4bLZbAaDwWQy6XT6wMAAwYSgq6c7Pb1DBZWrq+unn37617/+9dSpUydPnvzggw9+85vffPXVV9XV1Xs6qYGBATgUbmtn+0b1d2xsrOC+cfr06eDg4FXa6vjEuH+gv56eXljori6huvo6ogmRTCaL3DKNL9xQsdnswqLCO7fvHM56RQQyszIfyz1OTk4+nDUfh8Opra2Vk5Xb0fHFXmcX5hYagAy8vLy21AIfHh5ua2vr7OxsampqbGx8+fLlxMTElr/eiIgIkDYoPytf5PXB0NBQ4yZEji3l5+frgfRiI2OXF45jh72F+YXBgcG2trbCwkL/AH8sHisrJ3vx4sVbd24ZGRkFPQ3KzMqsqa2ZnJwU+42SRqP5+vkqKCgIApM8Hk/QXLy3r/d5yfOklCRHZ0ddXV2JSxLXfrymr6dvbWsdGx9bWVnZ2dk5MTEhwje7uLg4Ojra0dFRVlYWHhFOtiJraGtc/P7i2XNntXS0XJxdgoOD0zPTm1uaxyfGmUzmxvmur68jkUg9kN5+7hoCeDwel8ul0Wg9PT0FzwqiY6K9vL3QKPS1H6+dP3teTk4Oi8P6+voWFBS0trYODQ5RZ6nHp7SAy+U+f/784sWLIsjojY2PaWlpEU2IbywmBKGBLVt00un09vZ2WVlZPz+/8vLyBw8epKamLi0tdXR2EIlESwvLgf6BzfsXFRehUKgnT57sKLVDpVI7Ojo2ft1wOPzkyZO5ubl79f6VlZV9//33CQkJbwjBzMzMNDY2Njc3NzU1zc/P19bUCnzU+Xn5uwyZs1ispOQkOTm5nNwckasOhBkqPp9PoVD0Qfq2drbCg4RHApPJdHF1uXX7Vk/vvlrU7In5+XmQHghthN7RbcKkMwsLCo0wRo7OjiIXiq+srOBwOC11rdmp2SOsE+DyuLEJsTAELCwsbIF6LPLChTM7O9vS2pKdkx0aEurm7GZuao5Co8BgsKamppycnKSkpLqaOolE8vDyiImOKS0p7ezqHKIMUSiU0eHRseGxHR9j2Wz2+MT48PDw+PD4KGV0bm4uMjry3PlzcAjcyc7J0NBQVlZWUlJSSUlJV1sXAoZgsVhrG+sn3k/iYuPKy8v7+vtEDo28zdLSUm9vb8mLkojICHcPdxKZZIw1RqPQBmADdTX1x3KPH0g+0NTUtLS0dHN1c3RwvHrtqrKycuGzwqampoGBAcoIZYQyMkGZoAxThihDQ5QhyjBlgjIxMjwi+EyGh4d7O3sLnxUmJydnZWYlJScFBAQ4OTrB4XBJScmHDx8qKyvr6erBIXCMEcbCwsLF2SXkaUhOTk5zS/PrqcNu8rl7Ojs779295/3Ee0+6a1Qq9Yn3EygM+vbKaWxsDAaHmVmY9fZtHbOpqKiAwWAqKiqpqakC9wmdQS8tLVVWUQ4LD9tsWpydnUEgUHV19V5Nu5eX19mzZ/eadUWdowYHB8tKy9bW1G63z/zCvIubi4qaip2dXXl5+Z40gKamppycnHT0dEQWqNzBUDEYjMzMTDV1tbCwMNEOcHC8ePECAoXYOdjtqQn0PuFyuRHhEVAINCl5V60oCgoKkHCks7Nzd4+wzkPbHaumpsbAwMDWTpTWHuJifn4+JiYGCoEG+AeIq4H3YcJb5/V29+bl50VFRnm4e2CxWB0dHR0dHTAYrA/Rh8FhRkZGGGOMkbGRMdYYZ4zDG+MJBIKZmRlpewhEgjHOGIfF4Y3xeCyeQCQgkIibt2/+/sPf3759G4VECRIjyWRygF9AfEx8VWXV5KtD6kw4Nj5WXlmem5MbHRXt5OSEw+F0dXV1dHRQKJS2tvZnn3z23XffgUAgDAZjbGxshDHCYDGCE8FhcUbGRhhjzMZ5YYwxGGMMDofDYrAIJAKGgKFQKBQcBYPBIBAICATS0tICg8FWVlYhT0PSktJKikuOm2ygEMbGxgwNDcmW5D3JkrW3t9+7e8/Xz5e2+qaOzOrqakZWhrKq8nZ3y6ysLBgMBgKBgoODN5xAS0tLQSFBIBAoIz1jY0+QLkhJWUmEYkESifSnP/1pr+pQNTU1KDTK3c19y/jC0uJSamoqjojT0tVy93QXLW2tsanx0uVL/oH+IryXv6Oh4vP5s9RZGAxmaGi4Y5bkYbK0vGRmagY1gPYP9B+yv5syQMGgMCgUaleViTx+XWUdGoUmWZAKCgr25G9hsVgkcxIcAT+qyDONRquvr3/i+0QfrB8TEcNcPaTy3kOAwWB0dHYUPy9OSEzw9PTE4/EQKAQGgwnaZuvo6Fy9evXC9tyXvK+nr4dAIAxgBnA4HAwGkyxI7u7ul69eBkFA7S/FENOl0Wj5+fk5P1FQUFBVVSVyfQKNRmtoarB3sL908ZIh0jA+Pj7waaC1lTUcCYdAIXA43ABqgEAgIDAIFAZFIBCCl1AYFAKBIBAIY5yxh5dHeGR4SEhITHhMQX5BTV3NoZneA2JxcTE0PFQfrJ+RkbHz3nw+n89fXV1NTkp+JPmoIL9gyx0mJidkZGRMiCZvhIGXl5cFPeEiIiKampqkpaVDQ0M3uqqurKwQiUQoDCrQAZ+lziorK6NQKBFOKiYmBgQC7bWqLyw07OGDh2XlZaz1fwqTs9ZZnZ2dgQGBWlpaSBRyQzJDBCYnJ/X19Mlksmip8zsbKj6fX1RcZGho6OnueQhF47thbW0tLj4ODoPHRMUc/tF5PJ6dnZ20tHRXV9du7AeXw+3o6ECgEA8ePPD08BwYGNjNx8jj8SYmJ27duWVianL4nn3WOmt2djYlOUVdXf2x4uOMrIxDE6E4NHg8HpvDZrFYDAaDRqMtb2JpaWlubo66PfPz88v/zOrq6tLiUmJ8IgQKiY6N3ufcFhYWkpKSTp8+/cUXX3zxxRdffvnl559//uGHH+6n6WV9Yz0MDnNzcRvsH2SxWGtra6urq8sry7thhbYiiPOvra0xmUw2m33c2oKIAI/H6+rukpaVJluRd3k6jU2NWCzWwcaBMrR14SOTySQSiXA4vKOjY/P2urq67777LiQkRBAvbG1tPX/+/GbdvI6ODiQaaWJmMjo2mpiUiEQiRcsMYDKZe1VPp63SLEgWclJymyMUPB5vaWmppLQEAoEoKSolJiXOzMzs50un0+nJqclgfXB0tCi/jl0ZKgaD4evjq6qqWlNbcxx6LnT3dCspKTk5OR1Vb71nhc9gcJivj++O7akECNq1Jackw+AwWVlZ/wD/V693qPhZXFyMT4zX1NRMST7YQua3YTAY+c/ydbR1lBSV/AP8m1ua3/ZyAGzJKm0VY4SBQCAip2gKEDwJ5eXllZSUlJSUlJeXe3p6/va3vxW5gTprnRUcEiwrIyu8TdqvDTqdbog2hMFhA4MDO+/N56empcpIy2RkZGwXoeHxeIVFhXA43MvTa/Oiqry8/A9/+MOGKMH09PTnn39ubW29sQOXy83IyMAYYUgWJGlpaQcHh31eQrsnJzcHgUD4+/pvrq3sausiW5DV1NQc7B0aGhr23z6Jx+NNTk7KysoaGRmJ8PZdGSo+nz80NGRmbqZnoHfkPuiJiQlLS0skAnmEP7mFhQXvJ94PHz1sb9+Dk4fD4ZSVlTk5OSERSHVNdSwOW5BfsKFS/Abd3d2Kiooe7h7iapG5G9rb2h0cHLR1tfX19c1NzVNSUmapYhBD+1WRk5Ojr6/v88Rnu292N+Tl5W1uqdDU1GRmZubv7y9yA+vnz58bQAzc3NwOM6D7syA1NRUGg4WHh++mZsP7ifcliUut7cKKYZaWl0zNTRWVFEdGRzY2lpWVffDBB6mpqYKXc3Nzn376KZlM3vzGhYWF7Ozsh1IP/+u//+uJ7xNRTmbvMJlMFBplYGAgeOam0Wi5ubkmBBMtTS1DI8Pw8HBxqfXzf2qGp62jLYLE4m4NFZ/Pr6yqlHssF+AXsNGq5PChr9LjY+Pl5OSeFT472rVddXW1hrqG1xOv19N7y2tis9k52TlQGFRRWRGJQtrZ2cXFxdXX1W/+8lZpq9FR0XKycvtpyrdLVldXuzq7srOzPT09cVicuoa6uqb6boRbALaEtkqLio4C64Nzc3Lpq+KpmrCwsPj8889F9h/09vaamJiYmpmOjo0et1YpR86r168wxhhNTc0dNZwYDIa1jfXd+3d3bKJRVFikD9L38vLaiCkODAwQCAQCgeDm5ubm5mZra7tl5+KBoQElNaWvv/5aX0+/qLBISN8fscBms4uLi5FIZEhQyOTYZEZ6hqODIxwG19DUMCOZ1dZvmwEoGjwez87aDqIPEaHn6h4M1dLSUmpKKhqBjo+NF7kr0n5gMpmFzwoJBIK3j/fU9BHfRhk0Rm5mrqKKYmJKIocrSgxpaHjoie8TGWmZRw8fYYwwAf4B2dnZjY2Ng4ODiQmJBgYGsXGx+3kq3w4ul7uwsEAZpjS3NBcVF0VGRpItyCoqKnfv3MXj8bX1teISPP7VMj4x7ufvh0QgK8oqdtP0YUccHR3/8pe/iBaFnp6atrWxJRAJdfV77g39K8HTw1PygWRjU6PwZ99hyrA5yRwCgbzht+/o6KisrKysrNzwr3BYnOiwaMn7ktU11Rt3ZC6Xi0Khvv7666+//vr27dtbLo4rayrlleWdbJ1QUJSmpmZsXOzY6NjBhQPHx8ZBIBDYABweGu7i4KKooKikqOTj43NAxUg8Hi/kaQgKisrNyd1rB5A9GCo+n7+0uBTwNMAIY5SWnnbICxoul/ui7IUR1sjByYE6Rz3yynY+nz/9etoIY2RqatrZtUOftO1YWVmZmJgofl7s4uairqEuISFx7cY1FXWVS1cu3bh1Q5DltbKyQqfT19bWWCzWXi9ZHo+3vr7OZDIF+QJLS0sTExM1tTUREREYI8y1m9fOnT8nLS1tRjJLSk7q6+ubm5s7PiWZP18EAoAWZAtLsmVL834F79fW1uzs7H744QcRuuHNzsyGBoei0KjsnOzjEF0+ntRV1WGNsHb2dhOTE0J2a2puMsYbE02JG7rAbDZ7bGxMRkZGkPMiKSk5PDws+Jybm5r19fU9PD02J3NTqdSRkZGRkZGJiS0OxOPxomOib9++XVVZNUedCwsPU1ZVtrayrqmuWVxcXGOuictirbPXGQzGzNRMdGT0dxe/O/nlyQf3H6AMUVnZWaOjo/sPRwkhKTkJBoeFhoXuVaJhb4aKz+dPTU+FhoYSCIT0jPSDeN7fEh6H19bYhjZCWztYi6ZgfxDweLzmpmY1NbXNQVERYHPY4+PjDQ0NRUVFMbEx9x7e++B/P7h49uL9e/evXb+mpKhkamLq5uoWGhpa+qK0s7uzp7unv6u/q6Nrbv5NHyyLxerr6+vt6O3v7u/u7q5rqItLiPPy8rKxstED6d28efPatWuysrICvb6nQU8zMzMrKyv7B/o3JFABxAKXy+3p7YHBYWRL8kYWsmhYWFiAQKD6+vq9rnRX6aspKSlqGmpJyUlAaEoIDDojOCj4/v37DQ3COvjUN9Rj8VhLsiV1lirYUl5erqys7OnpmZaWlpaW5uPjo6SkJMjMpNPpOTk5MjIyu89/6e3utSRbGmGMBLZtfn6+sKjQxMxEUlJSXknexd2lpqpGNPGzzVBGKEkpSebm5jIyMqdOnzr73VlTE9O8/LyOzo4tNXTES3JaMgKJCAsNO3BDxefzX7967efrB4VAn5c+F83rtVcaGhoIeIKNnU1nj4hrl4PDx9dHS0srPy9fLN7/qpoqXV1dI5RRQkyCk5MTkUg0NjY2MjJCo9FQOFQfog+GgKEQKNQACoVADcAG+iB9vU2A9Tb9F2IAhoARMAQahTY0MsRgMHg8nkwm+/v55+Xl9fb1Ao/YB83zkucGEANnJ+f9BBuuXbsmJycnwhsLcgtAIJBfgN/bDzQAb1BUXHTrzq24+DghN9D6hnpjnDHJgrQRTo6Njf3ggw82zFtnZ+f//u//bkgoTU9Pa2pqEk2IlJFddb0KfBooJy9X9Lxo8wKgqbnpyZMnWDwWjoJDoBAoFOro5FhcWjxMGZ6amhK++mGsMV5PvR4fH2+qa0pNSbV3tIcj4PpgfRQSBYPALv5w8cu/fhngFzAxLmwdKV4y0jJQCFRISMhhGCo+n08Zpnh6eJqamiYlJu1fNEwI8/Pz2dnZpuamZCvydmLyR8ur16+e+D5BIBBVVVX7ab3M5XLb29txeJybs9vwwD98xCu0lY6OjhflL5JTk51dnYlEIpFIxBPxZmZmIB3Q3Tt372xCUV6RgCcQTAkEIoFIJFpbW8dFxT0vft7Q1HCcxWx+wWRkZOjp6fn5+4nchubBgwcPHjzY01sYDMaz/GcoBMre3v6Q+zz9TBkZHbGztUOj0Zt7175Ba1srjoDDE/Eb7ZpSUlK++OKLjYyn2trakydPxsT8vbiTyWQWFBbo6un6PPHZcQLUOSraCK2iprJd/7+W1pbAoEAoFAqBQMxIZtbW1vYO9q6urn5+fsHBweHh4bm5uSUlJdnZ2dHR0SEhIYGBge7u7vYO9ra2tiY4EygEKq8gLyUthUKjkhOTvTy9wGBwcFDwoXnFBKQlpKHh6MjIyL0eV0RDxefzZ2ZmXJ1dddR1vD28+/r6xB6BX19fH6GMhIWG6erokkikA21JsE/6B/td3V2JBGJdTZ3IwfOOzg57B3uSOam1ZevkV4EGKGcTbDZ7/Z9hs9mbd+ByucchmPdrhsvjpqanKigpuLm79ff1c9h78ECsr6+Pjo4qKyuj0ejdv4tKpQpkzyysLKhz1L1P+VdKe1O7kryS9xPv7e6ho2OjJBIJrAfeKIwVbqj4fD6Hy3FwcNDX1W+qbRLyS+RyuRERETAYLDE+8e0g8cTERMfLjra2tpaWlvr6+oS4BJI5CQaFaWtpy8nK/fD9D6dPn/7666+lHkmpqqpKSkqeP3/+9OnTZ86cefTwkbaWtp6enpWVVWxMbFtL2yp9lcfjjY6O4vF4jBFGLG2pdw+PxwsKCEJBUQV5BW9IYOyI6IaKL2jplpWprqmuoqZS8KxgdXVVXLdFxhqjrKxMX09fXV09Lj5uR5HQo4XL5fb199na2VqaW9bX1IvwIfT19zm7OBtjjNta2wCP3C8MOp1eVl4GMYDgjHENdQ27D4lTKJQ7d+7Y29vv/vqfnJj09/XXUNd4+vSpWHoB/3qgrdDcPdzhSHh+wdZt5NZYa/Z29g/vPRyhjAi2JCcnf/bZZ+Xl5YKXDQ0NbxgqPp8/NTVlY2ejraO9nVItn88fGxtTUVYxMzV7o56By+UuLS2BQKDTp0//7W9/O3PmzLlz5/7yl79AIdCJiYmx0bHh4eGenp7Ozs7W1tb0jPSo6Kis7Kza2tqOjo6urq6hoaGx0bHx8fGZmRnaCk0QmqDT6ba2tng8vqV1v2k+e4XH41lZWoHB4JaWlgNMT9+SVcZqRWWFvYO9jo6OuZl5UVHR/pdWTc1NVtZWGuoaVtZWz0uei6X/+kHD4/F6enosLCzgUHhOVs6ewlXlleUYDAZrjK2pqfkFKNMAvA2Px6uvq7e2toZAINFR0bt0EXd3d7/77rtubm67PEpNTQ0OizM0MkxJTpmdASq19waPzxsbH4NCoYaGhtuJLwcGBt64emPDPRgXF/fhhx9u9GXv7Ow8derU2xJBbS/b8ES8uZl5X+8W6rfUWaq7mzsUCi0pLXnjXx0dHaqqqkQiMTQ0NDQ0NCIiIjk5+Ysvvnj06NHb4zCZzMXFReErlfm5+SdPnqBQqIJnBYfva1lbW9PS0tLX1xehumm/hkrA1NRUcHCwIdoQCoXicDhvH++6+ro9JTrzeLzmlubIiEgTMxM9Az04Au7r47vLIOTxoaGpwdrGWk9Pz87Wrqq6asf9W9tanV2cYVCYKdG0tGS/3ZoBjjk9vT0uLi4IBMLTw7OlZefnWSqV6u3tXVW184U0PTMdExODRqMJREJhUaE4JvsrJS4uTldHNzY2dsuHidzcXAVFhejYaMGttqOjQ9C+FovFWlhYQCCQ//f//l9cXNzbb2xpaTEyMrJ3sH9jXbW+vl5cXCwtIx0TG0NnvJlfMDAwQCKRNou7Z2VlYbHYNxZtu2SOOpcQnwA2AGdkZIixy8wu4XA4PT09SkpKJBJJhLeLx1AJ6OrucnV1fSz/+KH0Q2OccXBwcEFBQUNDQ09Pz8DgwOzM7Bp9jc6gMxiMtbU1KpVKoVAGBgYaGxoLCgoiIiJMzUxVVVTvS97H4DBCQprHnMlXk+4e7gryCsbGxvEJ8ZWVlT09PeMT48sry0wmk7ZCm3o91dfXV11dnZqaSjQlyj6Wtbe2H+rfmyw/wM8UGo2WmJSoo6NDwBMSkxJbWlv2KfQ8NDxUWFTo7u6upqpmY2MzNAxcSPuCOkd1dXVVU1Pr6e552y8yMDBgZWuFRCEFMud8Pp/JZBoYGNy5c+dPf/rTiRMnrl69Wl9f//awbDa7oqpC30Df1c11cxJmZ1cnDo/DErB9/Tu3GhkYGPjLX/6yWcp293DYnPS0dAgEEh0TLTwLdHBwsLGx8e1lRk1NTUpKSkpKSmGhKE9CNBotNDQUBoPtXqt+M+I0VHw+n8lkLiwsVFVXka3It27f+vHqj9pa2kQCkUwmBwcGZ6dnp2ekp2ekZ2ZlhoSE2NnZmZPMtbS0JK5I3L1zl2xBzi/If/36NYPB+FmnADCZzIGBAScHJ8kHkrIyskQC0c3dLS4hLjsnOzkp2c/Xz8TURF5B/u6du0QisaW1BVCC+FXBYrGampqIBOLNWzf1wHqpqamDQ4Ozs7O716fncrhLS0uTk5NVVVWWVpb3H9xXV1fPzMzca1NXgC15Uf5CH6zv88Tn7VwDDoeTmZl5+9btrOysjXsUl8sdHh4mEAgSEhLd3d3beZJYLFZCXAIGgwmLCJtfmOfz+Ww229/fX1ZGtqa2Zjd3vNHR0c8//9zZ2XmvZ8RgMCrKKvB4vJWNFZW6bX4Nl8t9/fq1lpbWgwcPNmeUMBiMnp6ex48fC+qaf/zxx5qamr0+YI2OjYJ0QVZWVgfY5mOvcDicycnJlpaW7Jxsf39/W1tbC1MLsB74sfzjx48fS8lKycjKgMFgApFgYmbi6+eblZnV0NAwMTHxS7plT72eKi8rDw4NtrW1NTIyUlRWfCT1SFVVFYaAmVuYBwQGPH/+XAStAYBfAFwud2xsrPh5sYOTg6Ki4t27dw2NDLNzs3dTGkxfpjfWNbq6ucrKyt6/d59gTEhPSu/p7tlrYQrAdtAZ9OTkZMlHkpmZmW//t6urS0VZxd3dfSNJnc/nW1paamtrDwzsINfSUuAAABbRSURBVMG+vLwcFRmlpaXl4+szNT1VUlpiiDb09fTd5RMGhUL56quvXFxc9nQ6a2trqWmp6prqZCuycOmN1dVVfX39d95559atW5s9n7W1tffu3Xvy5El1dbVgXXX37t0tPZzbweVyBZVqUdFRomnfHIih2sz0zHRfX19He0dpaWl6RnpGRkZqWmpaWlppaWlLa0v7y/ZjntG3TxaXFvv6+urr6nNyc5JTknNzcyurKju7OoEaTAA+n08ZoWRlZbm5uxnjjLVB2o8VHisqKqIMUc7OziGhIWlpaTmZOdmZ2bFxsV5eXqbmpuoa6o/lHmtoaMBRcGsb68jIyNbmVg4LUL0SMzMzM/aO9ig06m1VaNoqLS4uTldX91nhs76+Pnl5eWlpaQQCsUuH2NTUVHJSspmZGRaPVVRStLezn5naVXJmbW0tHA53d3fv7NyD6AFlmOLs7AyBQty93HdUemOxWCkpKZcuXbp3797mNcPo6Gh4ePjMzN/nubi4+N5779nY2Ox+Gn19fXg8HkfAidDoXMCBGyoAAIAdednxMjAoEG2EVldXV9NQA+mBYDAYEolEI9AoJAqBQBgYGOhq66qpqunp6zk4ORQVFx2oJhvA5OSkGdEMh8W9fX+fmZmBI+CWZMtn+c90dHRUVVWFay+9TVpq2ukvT//rv/wr2ZK88958Pp/PDw8P//3vf7+nvkK1tbVkCzIcDg8LD9uujvhtUCjUtWvXtlugT0xMuLu7o1CosrKyXQ5IZ9DDw8PlH8uXlZWts0WUgAIMFQDAMYLH4w1Thquqq7KzsyPCI54GPQ0ODk5KSip7UdbT3iOuviEAu6GxppFkRiJbkru6/6mXN4/Hy83PNUIbBfgEbNdBUQiz1NnY2FgDkMGD+w8QKERqaupuwjbJycl/+MMfdtkMfnpm+vnz5xgjDAqJ2qzgvhsMDAyuX7++paHq7+9HIpEffPDBnvqiPS95jjHCuLu5z1FFdyMBhgoA4NjB4XBYLBaDwRBkyQq6vwOdpA4ZDodTVVmFNcbiiLiOrg425x+V+Ovr61GRUXAYPL8gf0/CadMz0yGhIQgEorq6emFhITomWk1Vzc7Grrm5eWlpaTvpVDqdHh4efu7cuS1TCjezQlsZHBr09fNVUlKyt7enjFD2GhMCg8HbGSpXV9ePPvro1KlTLS0tu9Ql6OvrIxAIpqamm/vciwBgqAAAAAC2Zm1traG+wcrWyhhv/KL8n+JVVCo1OCRYU0ez6HnRLpcsQ0NDtra2SCSyrKxMoIM+PzdfkF9ANCFKSUkZGhrW1m7dq9DDw0NJSamyslK4v3eYMky2Jj949AAGg8XFxYmWqyXEUPX29hYXFyclJcnLy290KxbC+MS4uZn5fhohbQAYKgAAAABhdHR22Nnb6enpRYZHMlb+kbf96vUrH18fOBy+YyYFk8WMT4xHoVBYY2xRYdEb/21savT29sYYYfT19SEQiK+Pb11d3eZyBU1NzW+//Xa7wXv7esPCw9BotJ6uHhQKtba1LnleInIGtRBDJWBiYuLjjz/eMflweHjYwsLCzMysublZtJlsBjBUAAAAADswPDjs5Oikq6Pr7uL+ovTFhiY9k8l0dXFFoVElL94UQBLAYDBelL7wdPfUN9DH4XA11TXbHaK3p9fB3kFRSVFLWwuPxzs4OPj7+6ekpFRUVhgbGasoqdTX17e3t7e1t3V0dDQ2NmZlZwUGBjq7OBNNiTogHVlZWZwRrqKsYp/9hnY0VF1dXX/96199fIRJwlMoFEdHRyQC2dTctJ/JbAAYKgAAAICdYbPZicmJjxUeg0CgsLCwpqam8bFx2gptenra1c2VSCQ2NjVu9B5cpa2Oj413dnTGJ8ZraWrJPpKNio5aWFjY8SgrtJWS0hIbW5v79+5/8803kpKSBlADM6KZpZmliakJwYRANCGam5tjMBhpOekz3565cPECDAlLS0+bmhaPFDocDr9165aQHYaGhj777DMPD48t/8vlckdHR11dXVFoVHNzM5cnHvFSwFABAAAA7Ao6g97X3xcUEiQjI3Pzxk2sMTY+Nr6mpqalscWKZCUpKRkTGzNMGR7oG8hKyTLBmdy7c09aRtrL26uzs3P3Ug6sddbc/Nzo6GhXV1duXm5gQKCTk5ODvYOtjS3ZkmxlZWVtbe3s6pyYnNja1jo0NDQ1PSWWtlI8Ho/BYGhqal6+fJlKpW4E3jgczurqKu0nmpqavvnmG39//y1mzmI1NTcZGRphMJjmlmbRanu3BDBUAAAAAHtgljpbVlYWHh5OtiQbGBioqqpKSUp98sdPTpw48dHHH/3www9SMlJgKJhsSfbz8yssLNxPz9L19fXp6emhoaGBgYGhwaGBgYHBwcHBwcHRsdF9qkS+DZ1ONzIy+u///u9/+7d/k5OTGxkZEWzv7u6WkpKS+AlJScno6Oi3U+oXlxZDw0I1NDRMiCYNjQ3ilcEDDBUAAACAKHT3dGdkZgQGBlpYWJiYmlhaWhIIhAeSDz786MPb92+XlG0dtTq2MJlMf39/EolkaWlpY2OzIXU4OjpKIpEMf8LBweHtjPyKigpzM3MkEunu5v7y5Uuxzw0wVAAAAABio3+w38HRAWIACQgMaGltWWP+cvRLt2SUMpqWnoZAIvRB+ulp6QfUUQ8wVAAAAADihLHGyM7OBoFAaEN0aloqhUJZWf6l6V2ts9dfvXpVX1vv4uBy/8F9sjV5bGzs4Pq+AoYKAAAAQMzQ6fS2tjZPd0+pR1IK8goRYRHj4+M/6+5Fm2GxWJXVlUgk8s7tO0gUMis76+2WKOIFMFQAAAAAB8LY6FhWZpaTkxMEClFRUbG2sW5rbzvqSe2Lubm5sIgwHU0ddVV1MzOzsNCwhsaGzeJSBwRgqAAAAAAOkKXlpdT0VCKRCIFADNGGbq5uRYVFI6MjRz2vPbBGW2toaAgKCiIQCfoG+vp6+l7uXn29O3clFheAoQIAAAA4DFqaWoh4orS0NBwGd3Jyio+PL31R2tfXt/seHIcJg8EYGRmpq6vLy8kLDgjG4XDSMtKamprxCfGLi4uHPBnAUAEAAAAcBjweb3V1tbunO/BpIMQAcuH7CxJXJQh4Qnh4eGtr69TU1PLy8p602MUOl8Olr9JnZ2cpFEpmVqaNnY3cY7mLFy5KPpIkW5HLK8rn5uaOZIaAoQIAAAA4VKhz1L6+vsqqypi4GGsbaxAIdP3adSkpKQcHh7y8vIGegfU1ERsMigyPx5uYnGiobwgLCtPR1Ll67aqMogyeiA8JCnn27FlLa8v4+PguW3scBIChAgAAADgaOBxOT29PYWFhQECApaUlFouFGEA0NTTlH8traGmQrcghQSEZGRmNTY270QncPUwWs7en98XzFzExMZ5enkgkUl5eXk1VTReki0KiTImmzs7OSalJzc3NS4tLYjyuyACGCgAAAODooTPo1dXVwUHBJmYmqmqqCgoKWppaEAMICoXC4XEWZAsHB4cnT57ExMSkpaWlpqSmpKSkpaWVl5W3tbU1tzS3trQ2tzS3tLS0trQ2NTe1trS2tbVV11Tn5uSmpv5956TEpOCgYFdXVysrKxOiCcYQA4PB9PT1VFRUlJSUDNGGjs6OGVkZExMTR/1hvAlgqAAAAACOHWu0tc7Wzty83LCwMCuylbKysoSExOUrlx89fKSkpKSooKigoKCkpISAI8zMzIgEoqmJKZ6IJxAJpiamBALB1MTU1MwUaYjU1NRUVPz7zo/lHt+8efPihYsPJR9iMBh3D/eU5JSKiopXr18d9enuAGCoAAAAAI4jPC6PyWSurq4uLixOTU2Nj493dHQUFRelZ6RnZmVmZWelZ6T7+vtaWVrZW9nb2NhYWltaWlva2Ng4WDvY2tiSyCQXN5e4+LjMzL/vnJuXW1dfNzg0+OrVq7m5ueXl5TXG2hFGnnYPYKgAAAAAfjaw2exV+iqDwWAwGKv01anpqeGh4ZHhkeHh4WHK8DBleHh4eJQyShmmDA4Njk+MLy0tbez88xUeBAwVAAAAAMCxBjBUAAAAAADHGsBQAQAAAAAcawBDBQAAAABwrAEMFQAAAADAsQYwVAAAAAAAxxrAUAEAAAAAHGsAQwUAAAAAcKwBDBUAAAAAwLEGMFQAAAAAAMcawFABAAAAABxrAEMFAAAAAHCsAQwVAAAAAMCxBjBUAAAAAADHGsBQAQAAAAAcawBDBQAAAABwrAEMFQAAAADAsQYwVAAAAAAAxxrAUAEAAAAAHGsAQwUAAAAAcKwBDBUAAAAAwLEGMFQAAAAAAMcawFABAPws4XA46z/BZrOPejoAhw2Px+PxeEc9i0MCMFQAAD8/1tbWoFDonZ+QkZEZHBw86kkBHB5jY2OGhoZVVVVHPZFDAjBUAAA/M1paWkxMTLS1tUE/oaurSyKRSktLj3pqAIdBd3e3oqLiiRMnkpOTj3ouhwRgqAAAfmbk5+crKioODQ1t3vjVV1/p6uoe0YwADo+Ojg4XF5evvvrqv/7rv/Ly8o56OofEcTRUDAZjfn6ey+Ue9USONbOzs6Ojo6Ojo69evTrquQAcKiwWa3l5efOWwcHBq1evmpubH9WUAA4NJSUlPT29Z8+effXVV8CK6ijx8vLS0dFZWlo66okcX1gsloGBwTfffPPNN99ISkqOjIwc9YwAjoyWlhZJSUl/f/+JiYmjngvAgXPnzh1dXd3W1tYzZ84kJiYe9XQOiWNkqMbHxyEQiJyc3P/93/+dPXt2cXHxqGd0TOnu7sbhcEQi0cXFxcXFhUQiqaqqVlRUHPW8APaAu7v78+fPJyYm5OXl5eTkGhsb+Xw+hUIBgUByQklJSdk8TklJCRgMfvr06fz8/BGdCsBu8fDwKC4ufvXqlZKSkpycXF1dHZ/PHxkZ0dfXF/6lJyUl8fn89fV1LBaLRCKrqqqqqqq+/PJLwfZfA8fIUE1MTMDhcEVFxVOnTt24cQNYUW1HZmbmv/zLv2RlZQle0mg0Y2NjFApVUlJytBMD2A1TU1MuLi7vvfeehISEtbW1srKyoqKiiYlJcXHxyMgIGAxWFEpaWtrGUDk5OWfPnj1x4oSzszOdTj/CkwIQzvT0tKur6+9+97srV65YW1urqKgoKioSicTCwsLR0VEIBCL8S8/Pz5+YmLC1tVVUVHzx4gWfz6+oqPj8888BQ3WU4PH4S5cuzc3NHfVEjin19fVycnLl5eWbN96/f19RUfGopgSwe3p6em7evPnOO++8//77aDRasFFKSkpGRmavQ5HJ5HPnzl24cOHSpUuRkZFjY2PiniyAeOjr67t9+/Y777zzP//zPwgEQrBRVlb24cOHu3n79PS0t7e3iorKxlfc2Nh46tSp7Ozsg5rxMUOchopOp3M4HC6XS6VSqVSqIBtifX19bm6OKhQGg7F5HAKB8Is3VGtraywWi8/nz8/PU6lUwd9cLndhYUH4Z0Wj0Vgs1vz8PJPJ3DzgvXv35OTkjuZkAPbC+vp6f3//hQsXdHV1N/x10tLSjx8/5nK5q6urK0IRXCoCFhYWpqamZmZmBMbPwsLiiM4JYAfW19cHBwe///57bW3tjS9dTk5OWlp6N1+6oaHh5cuXGxoaZmdnBbeI7Ozszz77LDQ09FeykhaboaLRaBAIJCsrq7m5+cKFCxcuXKitreXz+S0tLdevX78glDdyV7BY7C/eUJFIJB8fn7GxMUlJyQsXLsTGxvL5fCqVqqysLPyzcnV13XLAe/fuycvLH+5JAIgIl8u9evUqFovd2CIrKwsGgwcGBmRkZIRfAOHh4W8PyOFwvvvuOygUeognAbBnbt68icFgNl7Ky8vr6uoODAw8fvxY+Jf+m9/85sSJE1evXr106ZJgy5dffvkf//Efn3/+eWho6BGe0aEhHkPV09Ojqan5r//6r2fOnDE2NjY1NTUzM0OhUElJSRQKxdra2lQoApO2wS/bUM3NzZFIpHffffdPf/oTFAolkUimpqYIBCIgIGBubs7Ly0v4Z7URmtqAwWCQSCQ4HP7rKar4ubO0tHTlyhUUCrWxRVZWVkdHRxC+En4BCEIUb3PmzBkwGHxYZwCwZ1ZWVq5evbrh9+Pz+fLy8hoaGlNTU+7u7sK/dAcHB2dnZ3Nz840tGhoav/vd7+Tk5H4lVd7iMVTt7e0PHz589913P/vsM3d3d8HGK1euKCkpiTDaL9tQzczMQKHQ3//+9x9++OHG4xUYDP7uu+/W1tb2OtqrV6+cnJxkZGSATIqfF9euXcPj8RsvlZSU1NTURBtqZWUlJCREXV09KipKTLMDOBBu3ry5eRmtqqoqcly5paXl1KlTubm5YpracUc8horH401MTHz33XckEkmgk8hms2/evAkGg+l0ekdHR5tQqFTq5tF+2YaKz+dzuVwpKSklJaUNTUkIBHLjxo2FhYX+/n7hn9XmWpnXr187Ozvfu3evvb39iE4FYM/Q6fTq6upTp07JyclRKBQmk9nb2/vDDz9ISEj09PTsps59aWmppaWl6SciIiJu3bpVVFR0CJMHEA06nV5bW3v69GkZGZnh4WEmk9nX13flypVLly719PRwOJy9DlheXv7xxx8nJCQcxGyPIWKLUc3Pz58/f97W1lbwkslk3r59m0AgdHR0/PDDD6eEIojQbPCLN1R8Pl9OTm7zEzQEApGRkRkYGFBSUhL+WdnY2AjewmKxCASCtLR0b2/vr0dE+RdAV1fXlStXfvvb377//vt4PH50dFRVVfW9995777335OTkZmdndxzhxYsXf/vb3zYuiQcPHjQ0NGxOsgA4bvT29kpISLz77rvvv/8+BoMZGxtTV1cXfOmysrLT09N7HbCiouKvf/3rG0V1v2DEZqhev3599uxZMpkseCkwVAgEYm5uLjk5OUYofX19m4cSGKpfdgHj/2/vflqSCQI4jl96A10iCNkVjA5BdBC8REJQgnYKupjXkIiQrt68SO/AWyfBQ6seEo0kELuY4L/1UGhBIEFEBq3CKpI+B3mWiIfnkR6Rwb6f2wzsMMwu/GZ3Z2e3t7d3d3eN4v7+/ubm5svLSzKZ/PtY3dzcDAaDfr9/eHjodru/LFKH+JrNpqIo8XhcUZTr62tN01KpVCwWi0ajiUTiywrYP2o0GuFw2LgkLi8vJ9Bt/I+3tzfjpGezWU3TLi4uotFoLBY7Pz//xsq919fXq6urn7N92tiCStd1q9UaDAaNmq2tLa/X+42m/H7/2tradN8l7OzseDweo3h0dLSxsTHisff39ycnJz6fr1gsGpVnZ2c/Z3oF4EcZT1A9Pz+HQqHZ2VmHw5HP59/f3+PxuMlkslqt6XR69L+6fXx8ZDIZu90+Nzd3eno6lU//2u12IpFYXFxcXl5Op9OapmWzWZvNtrCwEIlERtmPI5lMzszMHB8fK4oSDoeHk+v5+XmXyzWB/gPAhI0nqHK53OrqqiRJZrM5EAg8PDw4nU5ZlmVZ3tvba7VaI7bT6/UODg7MZrMkSTabTVXVsXRPKE9PTy6Xazg4Ho9n+AM0WZYlSVpfX6/Vav9soVAorKysWCyWpaUly28mk4nvPQFMpfEElaZpxWKxWq2WSqXHx0dd16vVqqqqlUrl9vZ29DUt/X6/VquVy+VhU+12eyzdE0q32/08OJ1Op16vVyoVVVXL5fIoryh0Xb+7uysUCvlPVFX9xitZABCfiHv9AQBgIKgAAEIjqAAAQiOoAABCI6gAAEIjqAAAQiOoAABCI6gAAEIjqAAAQiOoAABCI6gAAEIjqAAAQiOoAABCI6gAAEIjqAAAQvsFhSQRhVQsgi4AAAAASUVORK5CYII=" alt="" height="219" width="602" /> </p> <p> <br /> <span style="font-size:16px;font-family:黑体;color:black;"></span> </p> <span style="font-size:16px;font-family:黑体;color:black;"></span><span style="font-size:16px;font-family:黑体;color:black;"></span> </div>
Input格式
对每一笔测资,输入只有一行:整数n (0<n<1000)<br />
Output格式
一行:一items整数<br />
Sample
Sample Input 1
1
3
10
30
500
Sample Output 1
2
8
92
872
249502
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